Abstract
We study a three-dimensional problem of the theory of elasticity for a rectangular parallelepiped in the case of steady-state forced vibrations. By the method of superposition, we reduce the problem to an infinite system of linear algebraic equations for the coefficients of double Fourier series. For this infinite system, we prove that the conditions of quasiregularity are satisfied and that the bounded solution exists. We also construct the asymptotics that describes the behavior of unknowns in the infinite system. The method is illustrated by several numerical examples.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
