Modern industry requires the creation and use of materials and structures with improved performance. Such structures include layered structures made of com-posite materials. Layered systems made of high-strength composite materials with different layers have found wide application in aviation technology as elements of the bearing surfaces of aircraft, as well as in many other industries. The use of composite plates in loaded structures is one way to improve the weight characteristics of rocket and space technology. Also layered structural elements are widely used in transport engineering, used in construction practice. Multilayer systems in the conditions of bending deformation are the most rational in terms of strength and rigidity. Thus, the improvement of methods for calculating inhomogeneous layered structures is an urgent task. Along with the methods of non-destructive testing, defectoscopy of structures using hardware methods, analytical research methods remain relevant, which allow to predict the possible destruction of the structure. When designing equipment, it is necessary to take into account the real operating conditions of structures. In the process, the mechanisms work under the action of vibration loads, so determining the dynamic characteristics of structures is an urgent task. This determines the need to study the oscillating processes taking into account the real conditions of vibration load, which will determine the optimal design parameters and modes of operation of the machine with the maximum distance from critical modes that are dangerous. One of the reasons for the destruction of elements of machine-building structures is that they resonate. Therefore, the problem of forced oscillations needs to be solved. To solve this problem, it is necessary to determine the natural frequencies and their corresponding natural forms of oscillations. The paper presents a method of calculating a layered structure to determine the physical characteristics for the whole package, taking into account the physical and mechanical characteristics of each of the layers. This approach allows to determine the dynamic characteristics and stress-strain state of multilayer composite structures, using classical equations for homogeneous struc-tures. This approach greatly simplifies the equation and allows you to find a solution that can be used in the design of structures made of composite materials under vibration loads.
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