###### Abstract
Researchers have made great efforts to establish the design methodologies of corrugated composite structures to enhance their vibration performance. [PERSON] et al. [21; 22; 23; 24] investigated the free vibration characteristics of sandwiched structures with corrugated, honeycomb, corrugated channel, and graded corrugated lattice cores. The research indicated that the vibration properties can be designed by changing the material components and the configurations of the sandwiched structure. [PERSON] et al. [25] studied the stability and vibration of multi-layer sandwiched structures. A mathematical method was proposed to calculate their natural frequencies. [PERSON] et al. [26] proposed a new semi-analytical method for the dynamic homogenization and vibration analysis of sandwiched beams, which provides a good accuracy of natural frequency prediction. [PERSON] [27] investigated the modes of sandwiched structures and proposed a modified damage index based on the mode flexibility curvature variation to identify the damage locations within the sandwiched structures. Based on a refined shear deformation theory, [PERSON] et al. [28] proposed an accurate and simple theory method to study the free vibration and buckling behaviors of foam-filled composite corrugated sandwich plates under thermal loading. [PERSON] et al. [29] investigated the influences of electric and magnetic potential on the vibacoustic response of the different types of truss core and honeycomb core sandwich panels and provided an exact solution for a vibroacoustic response of magneto-electro-elastic (MEE) composite plate and sandwich panels with MEE facings. [PERSON] et al. [30] used the Kirchhoff-Love shell theory to model the kinematic behavior of sinusoidally corrugated panels with a variable radius of curvature and studied the effects of different configurations of carbon nanotubes and various geometrical parameters, such as corrugation amplitude and number of corrugation units. Furthermore, panel aspect ratios were presented on the natural frequency and dynamic response of the sinusoidally corrugated, functionally graded carbon nanotube-reinforced composite panels. From these investigations, it can be found that the mode properties of the composite sandwiched structures are significantly affected by the geometric parameters, process methods, and material properties. This provides designers with various design methods to obtain the desired structural vibration performance. In recent years, to solve the problems encountered in the application of traditional modal testing methods (for example, the sensor must contact the measured object, the force hammer is easy to damage the measured object, etc. ), many new modal testing methods and equipment, such as the Laser Doppler Vibrometry system [31; 32] and the Digital Image Correlation Technique [33], have been developed. These works present the use of non-destructive, non-contact experimental modal analysis using the single- or multi-point approach for measurement over the surface of the product and enable modal testing to be performed in more working environments. In addition to the vibration behavior, the acoustic property of structures is also becoming increasingly attractive to both civil and military industries since it has a close relationship with the personnel comfort and equipment stealth. [PERSON] et al. [34] and [PERSON] et al. [35] established theoretical acoustic models of corrugated sandwich panels by usingthe same simplified method that simplifies the middle layer to springs and analyzed the effects of design factors on the sound transmission loss (STL). The difference is that in the latter investigation, the corrugated panel is filled with porous material. [PERSON] et al. [36] devoted an equivalent material formulation for simplifying the complex shaped core to an equivalent homogeneous material, which considerably improves the efficiency of finite element calculation and achieves a satisfactory accuracy. [PERSON] et al. [37] and [PERSON] et al.