1. Nonlinear vibration of initially stressed beams with elastic end restraints on two-parameter foundation
- Creator:
- Taha, M. H.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- nonlinear beam vibration, elliptic integrals, two-parameter foundation, and mode functions and natural frequencies
- Language:
- English
- Description:
- An analytical solution for nonlinear vibration of an initially stressed beam with elastic end restraints resting on two-parameter foundation is obtained. The mode functions for linear vibration of a beam with elastic end restraints resting on a linear elastic foundation are obtained first and used to solve the nonlinear vibration equation recalling elliptic integrals. The results obtained from the present solution are compared against those obtained from finite element method and found in close agreement. The effects of elastic support stiffnesses at the beam ends, foundation stiffness, initial axial load and vibration amplitude on the natural frequency are studied. and Obsahuje seznam literatury
- Rights:
- http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public