Simulation of Circular Cylindrical Shell Vibrations in Radioelectronic Equipment

Introduction. One approach to the analysis of complex structures of radioelectronic equipment is based on the construction of finite-difference models of non-stationary processes in structural elements. Such models are aimed at obtaining a convenient and easy-to-use algorithm for calculating the main strength characteristics of an object, such as displacements, deformations, and stresses. The basis for developing such an algorithm is the relationship between physical models presented in the form of discrete structures and their calculation schemes. Since the main structural elements of radioelectronic equipment are distinguished by a significant excess of two coordinates (width and height) over thickness, the calculation process is associated with certain difficulties. These are expressed in a significant volume of calculations with equal discretization steps for all coordinates, or in a decrease in the accuracy of calculations with different step values.

Aim. Research and development of an approach to strength assessment of circular cylindrical shells under dynamic external disturbances.

Materials and methods. The finite difference method was used to transfer from the equations of dynamic equilibrium in differential from to those in difference form.

Results. A method for calculating the stress–strain state of a shell using finite difference models is proposed. The resulting explicit difference scheme allows changing the boundary and initial conditions, thus enabling automatization of the calculation process. A specific example is used to consider the implementation of the proposed method for the case of a continuously acting pulsating cylindrical wave deforming the shell.

Conclusion. Future research can use the proposed method to analyze complex structures by improving the calculation models and including additional conditions and characteristics, thereby forming the basis for designing modules for engineering calculations of radioelectronic equipment.

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