On Simulation of Wave Processes in Electromechanical Systems by a Problem with Two- Point Time Conditions

• Published in: 2019 IEEE XVth International Conference on the Perspective Technologies and Methods in MEMS Design (MEMSTECH) pp. 114 - 118
• Main Authors: Nytrebych, Zinovii, Pukach, Petro, Ilkiv, Volodymyr, Malanchuk, Oksana
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01-05-2019
• Subjects: Conferences; Design methodology; Electromechanical systems; Force; infinite membrane; mathematical model; Mathematical models; Micromechanical devices; oscillation system; Oscillators; two-point problem; wave processes
• ISSN: 2573-5373
• DOI: 10.1109/MEMSTECH.2019.8817369

Wave processes in an infinite membrane under the action of external force at given conditions of the process at two moments of time are modeled by a two-point problem for the D'Alembert equation. A class of quasi-polynomials which is a class of uniqueness solvability of problem is established. Due to the modification of the mathematical model of oscillation, it is possible to propose a differential-symbol method for construction of exact solutions of the problem. The examples of researching the wave processes in a membrane with two fixed given states are proposed. The indicated results can be effectively used in the study of the mathematical models of MEMS oscillations.