## 5 Parameterisation Studies
### The Limits of Material Distribution Coefficient \"na\"
This trend occurs for maxima values for _Al/Pb_ and the minima values for _Ag/Pb_ and _Cu/Pb_ material pairs (Table 6). 15. The \(T_{R}\) values decrease as the frequency parameters increase in _1. Region_, _2. Region_ and _3. Region_ for \(na=0\) and \(c_{A}ratio>1\) (i.e., \(T_{R}\) values, _1. Region_: 31, _2. Region_: 9, _3. Region_: 5 for the _Pb/Al_ material pair at \(na=0\) in Table 8). 16. The \(na\) values of material pairs that minimise force transmission in the side frequency regions can be written as follows: * Bar with _Al/Pb_ material: _1. Region_ and before at \(na=0\), _2. Region_ at \(na=5\), _3. Region_ at \(na=0.5\); * Bar with _Ag/Pb_ material: _1. Region_ and before \(na=0\), _2. Region_ \(na=2\), _3. Region_ \(na=5\); * Bar with _Cu/Pb_ material; _1. Region_ and before \(na=0\), _2. Region_ \(na=5\), _3. Region_ \(na=10\);Bar with _Pb/Cu_ material: _1. Region_ and before _na_ = 100, _2. Region na_ = 0.2, _3. Region na_ = 5;
* Bar with _Pb/Br_ material: _1. Region_ and before na = 100, _2. Region na_ = 0.2, _3. Region na_ = 10;
* Bar with _Pb/St_ material: _1. Region_ and before _na_ = 100, _2. Region na_ = 0.2, _3. Region na_ = 0.5;
* Bar with Pb/St material: _1. Region_ and before _na_ = 100, _2. Region na_ = 0.2, _3. Region Region na_ = 2 (Figures 13-19). Taking into account the parameters _na_ and _cAratio_, the investigations of Figures 13-19, Figure 21 and Tables 6-8 for the frequency parameters \(\lambda\) can be grouped as follows:  
17. For the system with the _Pb/Cu_, _Pb/Br_, _Pb/St_ and _Pb/Al_ support bars, _cAratio_ > 1, the frequency parameters _SS1_ and _SS2_ decrease with increasing _na_. The values of the frequency parameters increase with increasing _cAratio_ if _cAratio_ < 1 (Figure 21 and Table 8). 18. For the system with the _Al/Pb_, _Ag/Pb_ and _Cu/Pb_ support bars, _cAratio_ < 1, the frequency parameters decrease with increasing _na_ in the _1. Region_ (Table 6). The contrast in \(T_{R}\) force transmission (\(T_{R}\)) between material pairs with _cAratio_ < 1 is not seen here. This situation appears to be the effect of material damping and [PERSON]'s modulus. 19. For the system with the _Al/Pb_, _Ag/Pb0_ and _Cu/Pb_ support bars, _cAratio_ < 1, the frequency parameters increase with increasing _na_ in the _1. Region_ (Figures 13-19 and 21 and Table 6). 20. In _1. Region_, for the system with bars of _Pb/Cu_, _Pb/Br_, _Pb/St_ and _Pb/Al_ material pairs, _cAratio_ > 1, the frequency parameters increase with increasing _na_ (Table 8). 21. There is a trend for the values of the side frequency parameters in the other regions. This distribution shows a trend according to _na_ less than and greater than 1 (Figures 13-19 and 21 and Tables 6-8). 22. The side frequencies show an ordered distribution as a function of _na_ over 0-30 Hz. In other frequency ranges, as the bar begins to dominate the overall motion, it is difficult to see a trend due to the dependence of the frequency parameters on specific mass and Young's modulus. Although there are approaches in the literature to overcome this situation by considering the specific mass ratio as 1, in this study, since beam isolation is the main concern, real material properties are used for the bar. However, the graph for _SS3_ in Figure 21 shows that the frequency parameters remain constant when _na_ > 5, whereas the graph for _SS4_ shows that the frequency parameters remain constant in the range 0.5 < _na_ < 2 (Figures 13-19 and 21 and Tables 6-8). 23. Since it is possible to influence the elasticity and mass distribution with _na_, isolation in the form of a dynamic absorber will be possible for the relevant frequency. While the peak value is minimised at a certain frequency, the frequency is decomposed as two different peak values. This may be a different approach to the study of minimising the vibration made by [PERSON] and [PERSON] [28].