Source: http://www.patentgenius.com/patent/8300363.html
Timestamp: 2018-12-17 17:38:46
Document Index: 588098657

Matched Legal Cases: ['art 9', 'art 11', 'art 9', 'art 11', 'art 9', 'art 9', 'art 11', 'art 11', 'art 9']

Wiring structure of flexure - Patent # 8300363 - PatentGenius
8300363 Wiring structure of flexure
Application: 13/225,193
Inventors: Arai; Hajime (Aikoh-gun, JP)
Fukushima; Kiyotaka (Yokohama, JP)
Foreign Patent Documents: 10-124837
Abstract: A wiring structure of a flexure includes wiring that includes a trace of first polarity and a trace of second polarity and transmits signals to and from a head that is supported with the flexure and writes and reads data to and from a recording medium and an interleaved section formed at least partly in the wiring where the traces are each divided into sub-traces, the sub-traces being alternated in a width direction of the wiring, the sub-traces of each trace being connected to each other on each side of the interleaved section, an outer one of the sub-traces of each trace being narrower than an inner one of the same. The wiring structure reduces partial dips in the frequency characteristic of signal transmission loss (loss-to-frequency characteristic) of the wiring at the interleaved section.
1. A wiring structure of a flexure supporting a head to write and read data to and from a recording medium, comprising: wiring including a trace of first polarity and a traceof second polarity, the traces of the first and second polarities through which signals are transmitted to and from the head; an interleaved section formed at least partly in the wiring where the traces are each divided into sub-traces, the sub-tracesof one trace of the trace having the first polarity and the trace having the second polarity being alternated in a width direction of the wiring with subtraces of the other of the trace having the first polarity and the trace having the second polarity,the sub-traces of each trace being connected to each other on each side of the interleaved section; and an outer one of the sub-traces of each trace being narrower than an inner one of the same.
2. The wiring structure of claim 1, wherein the width of the outer sub-trace is in the range of 50% to 85% of the width of the inner sub-trace.
3. The wiring structure of claim 1, wherein the width of the outer sub-trace is 60% of the width of the inner sub-trace.
4. The wiring structure of claim 1, wherein the wiring structure includes a metal substrate and a base insulating layer formed on the metal substrate, the wiring is formed on the base insulating layer, and the metal substrate is provided with awindow at a location corresponding to the interleaved section.
A hard disk drive incorporates a hard disk and a head suspension that supports a head. The hard disk in the hard disk drive is rotated at high speed and the head of the head suspension slightly floats from the surface of the hard disk, to writeand read data to and from the hard disk. The head of the head suspension is attached to a flexure that is fitted to and extending along the head suspension. The flexure includes wiring for transmitting write and read signals to and from the head.
Recent hard disk drives are required to have increased capacity, high transfer speed, and reduced power consumption. To meet the requirements, the wiring of the flexure in the hard disk drive is required to improve electric characteristics,such as reducing impedance and inductance, realizing impedance matching with a preamplifier, and preventing attenuation.
To meet the requirements for the wiring of the flexure, Japanese Unexamined Patent Application Publication No. H10-24837 discloses an interleaved wiring technique of alternating a plurality of traces of both polarities in a width direction ofthe flexure. This technique is capable of reducing the impedance and the like of the wiring of the flexure.
The interleaved wiring, however, causes partial dips or drops in the frequency characteristic of signal transmission loss (hereinafter sometimes referred to as "loss-to-frequency characteristic") of the wiring, which is not observed in standardwiring employing no interleaved wiring technique. If occur, the partial dips in the loss-to-frequency characteristic cause problems such as creating an unwanted filter and narrowing a bandwidth.
In order to accomplish the object, an aspect of the present invention provides a wiring structure of a flexure supporting a head to write and read data to and from a recording medium. The wiring structure has wiring including a trace of firstpolarity and a trace of second polarity and transmitting signals to and from the head and an interleaved section formed at least partly in the wiring where the traces are each divided into sub-traces, the sub-traces being alternated in a width directionof the wiring, the sub-traces of each trace being connected to each other on each side of the interleaved section, an outer one of the sub-traces of each trace being narrower than an inner one of the same.
Embodiments of the present invention will be explained in detail with reference to the drawings. Each embodiment prevents partial dips from occurring in a frequency characteristic of signal transmission loss at an interleaved section of awiring structure of a flexure by reducing the width of an outer sub-trace narrower than the width of an inner sub-trace.
The load beam 3 applies load onto a head 21 and includes a rigid part 9 and a resilient part 11. The rigid part 9 is made of, for example, stainless steel and has a thickness of about, for example, 100 .mu.m.
The resilient part 11 is formed separately from the rigid part 9 and is made of, for example, a resilient thin stainless steel rolled plate having a precise spring constant that is lower than that of the rigid part 9. The resilient part 11 hasa thickness of about, for example, 40 .mu.m. A first end of the resilient part 11 is fixed to a rear end of the rigid part 9 by, for example, laser welding and a second end thereof is integral with a reinforcing plate 13.
The flexure 7 has a tongue 23 that is formed into a cantilever. The tongue 23 supports a slider of the head 21 to write and read data to and from a recording medium. The head 21 includes a write element and a read element. The write elementis, for example, a standard inductive magnetic transducer. The read element is, for example, an MR element, a GMR element, or a TuMR element having a high read sensitivity. With respect to the head 21, the wiring pattern 19 transmits write and readsignals.
The head 21 may be provided with a heater to finely adjust a gap by thermal expansion with respect to a hard disk and a sensor to detect if the head 21 hits the hard disk. In this case, the wiring pattern 19 further includes a heater wiring anda sensor wiring to transmit heater control signals and sensor detection signals as signal transmission wirings.
The wiring structure of the flexure 7 according to the first embodiment is applicable to any of the write wiring, read wiring, heater wiring, and sensor wiring as signal transmission wirings, and therefore, the following explanation is made onan assumption that the wiring structure is applied to one of the write wiring, read wiring, heater wiring, and sensor wiring. Namely, the one of the write, read, heater and sensor wirings to be explained is hereinafter referred to as the "wiring".
The metal substrate 17 is made of a conductive thin plate such as a resilient thin stainless rolled plate (SST). The thickness of the metal substrate 17 is in the range of, for example, about 12 to 20 .mu.m, and according to the firstembodiment, is about 20 .mu.m. The metal substrate 17 is provided with a through window 29.
The window 29 improves the impedance of the wiring 27, to realize a wide bandwidth. The window 29 is formed at proper locations along the wiring 27 extended along the flexure 7. A tiling ratio of the windows 29 with respect to the wiring 27 isproperly adjusted to realize required impedance and bandwidth for the wiring 27.
The base insulating layer 25 is made of flexible insulating resin such as polyimide. The thickness of the base insulating layer 25 is in the range of, for example, about 5 to 15 .mu.m, and according to the first embodiment, is about 10 .mu.m.
The wiring 27 include a first trace 31 (indicated as "trace 1" in FIG. 4) of first polarity and a second trace 33 (indicated as "trace 2" in FIG. 4) of second polarity that are made of conductive metal such as copper. The first and secondtraces 31 and 33 are in parallel with each other in a width direction of the flexure 7. The thickness of the wiring 27 is in the range of, for example, about 8 to 15 .mu.m, and according to the first embodiment, is about 15 .mu.m.
The first trace 31 includes single trace sections 35 on both sides and a pair of first sub-traces 39 and 41 between the single trace sections 35. The first sub-traces 39 and 41 are in parallel with each other in the width direction of theflexure 7. The second trace 33 includes single trace sections 37 on both sides and a pair of second sub-traces 43 and 45 between the single trace sections 43. The second sub-traces 43 and 45 are in parallel with each other in the width direction of theflexure 7. The first and second sub-traces 39, 41, 43, and 45 form an interleaved section 47 at a part of the wiring 27. The interleaved section 47 may be formed entirely on the wiring 27 or at plural parts of the wiring 27 in a longitudinal directionthereof. Namely, the interleaved section 47 is formed at least partly in the wiring 27 where the traces 31 and 33 are each divided into sub-traces 39, 41, 43 and 45.
In the interleaved section 47, the first and second sub-traces 39, 41, 43, and 45 are alternated on the base insulating layer 25 in the width direction of the flexure 7. Namely, in the interleaved section 47, the sub-traces 39 and 41 of thefirst trace 31 of first polarity and the sub-traces 43 and 45 of the second trace 33 of second polarity are interleaved or alternated.
In the interleaved section 47, the first and second sub-traces 41 and 43 are each on an outer side of the interleaved section 47 of the wiring 27 and the first and second sub-traces 39 and 45 are each on an inner side of the interleaved section47 of the wiring 27. The width of each of the outer first and second sub-traces 41 and 43 is narrower than that of a corresponding one of the inner first and second sub-traces 39 and 45.
Width reduction of the outer first and second sub-traces 41 and 43 is carried out so that partial dips in the frequency characteristic of signal transmission loss (loss-to-frequency characteristic) of the wiring 27 at the interleaved section 47may decrease with respect to a level observed under assumption that all the sub-traces 39, 41, 43, and 45 have the same width at the interleaved section 47.
According to the first embodiment, the inner first and second sub-traces 39 and 45 each have a width of about 120 .mu.m or 150 .mu.m and the outer first and second sub-traces 41 and 43 each have a width in the range of about 50% to 80%, inparticular about 60%, of the width of the inner first and second sub-traces 39 and 45.
An interval between adjacent ones of the first and second sub-traces 39, 41, 43, and 45 is the same size, and according to the first embodiment, is about, for example, 20 .mu.m. The intervals defined by the first and second sub-traces 39, 41,43, and 45 may not be set in the same size. For example, all the intervals may have different sizes or selected one of the intervals may have a different size from the rest.
One ends of the first sub-traces 39 and 41 are connected together through a fork 49 into the single trace section 35 and the other ends of the first sub-traces 39 and 41 are connected together through a bridge 53 into the single trace section35. One ends of the second sub-traces 43 and 45 are connected together through a fork 51 into the single trace section 37 and the other ends of the second sub-traces 43 and 45 are connected together through a bridge 55 into the single trace section 37. Namely, on each side of the interleaved section 47, the sub-traces 39 and 41 of first polarity are connected to each other and the sub-traces 43 and 45 of second polarity are connected to each other.
The wiring 27 having the above-mentioned configuration is covered with a cover insulating layer 57 that is made of flexible insulating resin such as polyimide. The thickness of the cover insulating layer 57 is in the range of, for example,about 4 to 5 .mu.m, and according to the first embodiment, is about 5 .mu.m. The cover insulating layer 57 covers the surfaces of the wiring 27 and protects it from external force and the like. The cover insulating layer 57 may be omitted to expose thesurface of the wiring 27.
FIGS. 5A and 5B are tables listing dimensions of analytic models of Examples 1A to 1D according to the first embodiment and Comparative Examples 2 and 3 and FIG. 6 is a circuit diagram illustrating a frequency characteristic analyzing circuitused to analyze the analytic models of FIGS. 5A and 5B.
As listed in FIG. 5A, each of the analytic models has a metal substrate 17 (SST) of 20 .mu.m thick, a base insulating layer 25 (Base PI) of 10 .mu.m thick, wiring 27 (Cu) of 15 .mu.m thick, and a cover insulating layer 57 (Cover) of 5 .mu.mthick.
As listed in FIG. 5B, the widths of inner first and second sub-traces (39 and 45) are each set to 150 .mu.m (25.OMEGA. in impedance (Z0)) and intervals among sub-traces are each set to 20 .mu.m. Outer first and second sub-traces (41 and 43) ofthe analytic models are provided with different widths of 40%, 50%, 60%, 80%, 100%, and 120% of the inner sub-trace width, respectively. Depending on the different outer sub-trace widths, the metal substrates 17 of the analytic models are provided withwindows 29 of different widths of 580 .mu.m, 610 .mu.m, 640 .mu.m, 700 .mu.m, 760 .mu.m, and 820 .mu.m, respectively.
Three-dimensional electromagnetic field analysis software "Ansoft HFSS.RTM. "is used to form each three-dimensional model of the wiring 27 and calculate S-Parameters. Resultant data from this software is applied to the circuit of FIG. 6 tocarry out circuit calculations with circuit analysis software "Ansoft Designer.RTM.".
FIGS. 7 to 10 are graphs illustrating results of the loss-to-frequency characteristic analyses of the models, in which FIG. 7 is of Comparative Example 1 employing no interleaved section, FIG. 8 is of Comparative Example 2 employing aninterleaved section with sub-traces of the same width, FIG. 9 is of Examples 1A and 1B and Comparative Example 2 provided with outer sub-traces of different widths, respectively, and FIG. 10 is a partial enlarged view of FIG. 9. In FIGS. 7 to 10, anordinate represents gain and an abscissa represents frequency.
According to Comparative Example 1 illustrated in FIG. 7, no partial dip is observed in the loss-to-frequency characteristic because it employs no interleaved section. However, a frequency at a half gain attenuation level of -3 dB is about 2GHz, to demonstrate a very narrow bandwidth. According to Comparative Example 2 illustrated in FIG. 8, the loss-to-frequency characteristic is generally gentle to demonstrate an expanded bandwidth. However, the frequency at the gain of -3 dB is onlyabout 10 GHz due to dips in the loss-to-frequency characteristic.
On the other hand, Examples 1A (60%) and 1B (80%) according to the first embodiment in FIGS. 9 and 10 make the loss-to-frequency characteristics gentler to expand bandwidths and reduce dips in the loss-to-frequency characteristics. Example 1A(60%) increases the frequency at the gain of -3 dB to about 18 GHz and Example 1B (80%) to about 17 GHz.
FIG. 11 is a graph illustrating the loss-to-frequency characteristics of Examples 1A, 1B, 1C, and 1D according to the first embodiment and Comparative Examples 2 and 3. Examples 1A, 1B, 1C, and 1D employ outer sub-trace widths of 60%, 80%, 40%,and 50% of the inner sub-trace width, respectively. Comparative Examples 2 and 3 employ outer sub-trace widths of 100% and 120% of the inner sub-trace width, respectively.
In FIG. 11, Examples 1C (40%) and 1D (50%) according to the first embodiment demonstrate generally gentle loss-to-frequency curves to expand bandwidths and reduce dips in the loss-to-frequency characteristics. Example 1C (40%) expands thefrequency at the gain of -3 dB to about 11 GHz and Example 1D (50%) to about 16 GHz.
On the other hand, Comparative Example 3 (120%) expands an outer sub-trace width wider than an inner sub-trace width, and as a result, deteriorates the frequency at the gain of -3 dB to about 5 GHz.
FIG. 12 is a graph explaining partial dips occurring in a loss-to-frequency characteristic. FIG. 13 is a graph illustrating a relationship between partial dips in a loss-to-frequency characteristic and outer sub-trace width. In FIG. 13, adotted line is with an inner sub-trace width of 120 .mu.m (impedance (Z0) of 30.OMEGA.) and a continuous line is with an inner sub-trace width of 150 .mu.m (impedance (Z0) of 25.OMEGA.). In FIG. 13, an ordinate represents dip and an abscissa representsouter sub-trace width.
In FIG. 12, a dip D corresponds to a distance from a reference gain line with no dip and is expressed in units of gains. In FIG. 13, the outer sub-trace width is changed from 40% to 120% of the inner sub-trace width and the dip is measured ateach outer sub-trace width.
At each of the inner sub-trace widths of 150 .mu.m (impedance (Z0) of 25.OMEGA.) and 120 .mu.m (impedance (Z0) of 30.OMEGA.), the dip decreases as the outer sub-trace width decreases from 100% to 60%. When the outer sub-trace width is 60% ofthe inner sub-trace width, the dip is nearly zero.
As the outer sub-trace width ratio decreases from 60%, the dip increases from nearly zero and finally exceeds the level of the outer sub-trace width ratio of 100%. Also, the dip increases when the outer sub-trace width ratio increases above100%. These phenomena are observed in both of the different impedance cases of 25.OMEGA. and 30 .OMEGA..
As is apparent from FIG. 13, the dip at the outer sub-trace width ratio of 50% to 85% is equal to or less than half the dip at the outer sub-trace width ratio of 100%. When the ratio is 60%, the dip is reduced to nearly zero. Accordingly, theouter sub-trace width ratio is preferable to be within the range of 50% to 85%.
The wiring structure according to first embodiment is of the flexure 1 that supports the head 21 to write and read data to and from a recording medium. The wiring structure of the flexure 1 includes the wiring 27 connected to the head 21. Atleast partly, the wiring 27 is provided with the interleaved section 47 in which the first and second traces 31 and 33 are divided into the first and second sub-traces 39, 41, 43, and 45 that are alternated in a width direction of the wiring 27. On eachside of the interleaved section 47, the sub-traces 39 and 41 of first polarity are connected to each other and the sub-traces 43 and 45 of second polarity are connected to each other. The width of each of the outer first and second sub-traces 41 and 43is narrower than the width of a corresponding one of the inner first and second sub-traces 39 and 45. Width reduction of the outer first and second sub-traces 41 and 43 is carried out so that partial dips in the frequency characteristic of signaltransmission loss (loss-to-frequency characteristic) of the wiring 27 at the interleaved section 47 may decrease with respect to a level observed under assumption that all the first and second sub-traces 39, 41, 43, and 45 have the same width at theinterleaved section 47.
Accordingly, the wiring structure of the first embodiment is capable of reducing the impedance and inductance of the wiring 27, realizing an impedance matching with a preamplifier, reducing attenuation, expanding a bandwidth, and preventing thecreation of an unwanted filter.
According to the first embodiment, the width of each of the outer first and second sub-traces 41 and 43 is narrowed to 50% to 85% of the width of a corresponding one of the inner first and second sub-traces 39 and 45. This configurationsubstantially halves a dip in the loss-to-frequency characteristic of the wiring 27 at the interleaved section 47 compared with a wiring structure employing an interleaved section with every sub-trace having the same width.
The first embodiment may set the width of each of the outer first and second sub-traces 41 and 43 to 60% of the width of the inner first and second sub-traces 39 and 45. This configuration substantially zeroes dips in the loss-to-frequencycharacteristic of the wiring 27 at the interleaved section 47.
The first embodiment forms the wiring 27 on the base insulating layer 25 that is formed on the metal substrate 17 having the window 29. The window 29 is formed at a position corresponding to the interleaved section 47. Even with thisconfiguration, the first embodiment reduces dips in the loss-to-frequency characteristic of the wiring 27 at the interleaved section 47.
Generally, the window 29 formed in the metal substrate 17 is effective to adjust the impedance and bandwidth of the wiring 27. The window 29, however, tends to cause dips in the loss-to-frequency characteristic of the wiring 27 when theinterleaved section 47 is prepared for the wiring 27 at the location of the window 29.
A modification of the first embodiment will be explained. FIG. 14 is a sectional view illustrating a flexure 7A according to the modification and FIG. 15 is a graph illustrating a relationship between partial dips in a loss-to-frequencycharacteristic and outer sub-trace width according to the modification. The modification is basically the same as the first embodiment, and therefore, corresponding parts are represented with the same reference marks, or the same reference marks plus"A" to omit a repetition of explanation.
The flexure 7A according to the modification has a metal substrate 17A having no window. According to the modification, the impedance (Z0) of wiring 27A is set to 10.OMEGA. and 15.OMEGA. as illustrated in FIG. 15. The flexure 7A demonstratesa remarkable reduction in dips in the loss-to-frequency characteristic of the wiring 27A at an interleaved section 47A when the outer sub-trace width ratio is in the range of 50% to 85%, and when the ratio is 60%, the dips are minimized.
A wiring structure of a second embodiment of the present invention will be explained. FIGS. 16A and 16B are perspective views illustrating different sub-trace configurations adopted by a wiring structure of a flexure according to the secondembodiment of the present invention. In FIG. 16A, only an outer sub-trace of each trace is narrower than the other sub-traces of the trace. In FIG. 16B, outer and intermediate sub-traces of each trace are narrower than an inner sub-trace of the trace. FIG. 17 is a model illustrating the wiring structure according to the second embodiment. The second embodiment is basically the same as the first embodiment, and therefore, corresponding parts are represented with the same reference marks, or the samereference marks plus "B" to omit a repetition of explanation.
More precisely, a first trace 31B of first polarity includes first sub-traces 59, 39B and 41B between single trace sections 35B. The first sub-traces 59, 3913 and 41B are in parallel with each other in a width direction of the flexure 7B. Asecond trace 33B of second polarity includes second sub-traces 43B, 45B, and 61 between single trace sections 37B. The second sub-traces 43B, 45B, and 61 are in parallel with each other in the width direction of the flexure 7B.
In the interleaved section 47B, the first and second sub-traces 59, 39B, 41B, 43B, 45B, and 61 are alternated on a base insulating layer 25B in the width direction of the flexure 7B. In the interleaved section 47B, the first and secondsub-traces 41B and 43B are each on an outer side of the interleaved section 47B, the first and second sub-traces 59 and 61 are intermediately arranged on inner sides of the sub-traces 41B and 43B, respectively, and the first and second sub-traces 39B and45B are centrally arranged on inner sides of the sub-traces 59 and 61, respectively.
According to the second embodiment, only the outer first and second sub-traces 41B and 43B may be narrowed as illustrated in FIG. 16A, or the outer first and second sub-traces 41B and 43B and intermediate first and second sub-traces 59 and 61may be narrowed as illustrated in FIG. 16B.
The frequency characteristics of signal transmission loss (loss-to-frequency characteristics) of the flexure 7B according to the second embodiment will be explained. The width of the outer first and second sub-traces 41B and 43B is changed to100%, 60%, and 36% of the width of the inner first and second sub-traces 39B and 45B. In addition, the width of the intermediate first and second sub-traces 59 and 61 is changed to 100%, 80%, and 60% of the width of the inner first and second sub-traces39B and 45B.
FIGS. 18 to 20 are graphs illustrating the loss-to-frequency characteristics of Examples 2A and 2B according to the second embodiment and Comparative Examples 4 to 6. In FIG. 18, Example 2A is with an outer sub-trace width ratio of 60%, Example2B is with an intermediate sub-trace width ratio of 80% and an outer sub-trace width ratio of 60%, Comparative Example 4 is with every sub-trace having the same width (100%), Comparative Example 5 is with an intermediate sub-trace width ratio of 60% andan outer sub-trace width ratio of 36%, and Comparative Example 6 is with an intermediate sub-trace width ratio of 60% and an outer sub-trace width ratio of 60%. FIG. 19 is a partial enlarged view of FIG. 18 and FIG. 20 is a graph illustrating theloss-to-frequency characteristics of Example 2A and Comparative Examples 4 and 5. In FIGS. 18 to 20, an ordinate represents gain, an abscissa represents frequency, "All" indicates that every sub-trace has the same width, "Out" indicates the width of anouter sub-trace, "Mid" indicates the width of an intermediate sub-trace, and "Cnt" indicates the width of an inner (central) sub-trace.
In FIGS. 18 to 20, a frequency at the gain of -3 dB is about 17 GHz according to Comparative Example 4 employing the same width (100%) for every sub-trace and is about 18 GHz with reduced dips according to Example 2A employing the outersub-trace width ratio of 60% and Example 2B employing the outer sub-trace width ratio of 60% and intermediate sub-trace width ratio of 80%.
On the other hand, Comparative Example 5 employing the intermediate sub-trace width ratio of 60% and outer sub-trace width ratio of 36% and Comparative Example 6 employing the intermediate sub-trace width ratio of 60% and outer sub-trace widthratio of 60% increase dips and reduce the frequency at the gain of -3 dB to about 15 GHz and 14 GHz, respectively.
The second embodiment that divides each trace into three sub-traces to form the interleaved section 47B is capable of optimizing the loss-to-frequency characteristic of the wiring 27B at the interleaved section 47B when the outer sub-trace widthratio is set to about 60%.
According to the second embodiment, the intermediate sub-trace width ratio may be reduced to about 80% without deteriorating the loss-to-frequency characteristic of the wiring 27B at the interleaved section 47B. However, if the intermediatesub-trace width ratio is reduced to about 60%, the loss-to-frequency characteristic will deteriorate. The loss-to-frequency characteristic will also deteriorate if the width of the outer sub-trace is narrowed relative to the width of the intermediatesub-trace.
In this way, the second embodiment provides the wiring 27B of the flexure 7B with the interleaved section 47B in which each trace is divided into plural sub-traces more than two sub-traces among which the outer first and second sub-traces 41Band 43B are narrower than the inner first and second sub-traces 39B and 45B, thereby providing the same effect as the first embodiment.
As mentioned above, the present invention only has to set an outer one of the sub-traces of each trace of the wiring 27, 27A, and 27B being narrower than an inner one of the same, to decrease partial dips in the frequency characteristic ofsignal transmission loss (loss-to-frequency characteristic) of the wiring at the interleaved section 47, 47A, and 47B.
Therefore, dimensions of the wiring structure and the flexure 7, impedances of the sub-traces of the wiring 27, 27A, and 27B, the number of the sub-traces and the like are not limited to those of the embodiments and may be changed according tocommonly-known flexures.
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