Abstract
In the present paper, the differential nonlinear eigenvalue problem describing longitudinal eigenvibrations of an elastic bar with elastically attached load to the bar end is considered. The original differential eigenvalue problem is approximated by a mesh scheme of the finite difference method on a uniform grid. The finite difference scheme is equivalent to the matrix nonlinear eigenvalue problem. To solve this matrix nonlinear eigenvalue problem, the bisection method is proposed and studied. Investigations of this paper can be generalized for the cases of more complicated and important problems on eigenvibrations of beams, plates and shells with elastically attached loads.
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.
