The Nonlinear Behavior of Elastic Slender Straight Beams Undergoing Small Strains and Moderate Rotations-Reference-Cited by-同舟云学术

The Nonlinear Behavior of Elastic Slender Straight Beams Undergoing Small Strains and Moderate Rotations

Published:1979-03-01 Issue:1 Volume:46 Page:161-168
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Rosen A.¹,Friedmann P.¹

Affiliation:

1. Mechanics and Structures Department, School of Engineering and Applied Science, University of California, Los Angeles, Calif. 90024

Abstract

The nonlinear behavior of slender and initially straight beams is investigated. A set of equilibrium equations for a beam undergoing moderate rotations and small strains is derived. The derivation includes several assumptions which are clearly stated and explained. These equations are used to investigate the deformations of a cantilevered beam which is loaded by a concentrated transverse load at the free end. The numerical results are in very good agreement with the experimental results.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/46/1/161/5877055/161_1.pdf

Cited by 63 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Outcomes of Nonlinear Static Aeroelasticity for Wing Stress and Buckling Applied to a Transport Aircraft;AIAA SCITECH 2024 Forum;2024-01-04

2. Nonlinear dynamics of inclined viscoelastic pipes subjected to pulsatile flow and multi-harmonic excitations;Nonlinear Dynamics;2023-05-04

3. Nonlinear planar and non-planar vibrations of viscoelastic fluid-conveying pipes with external and internal resonances;Journal of Sound and Vibration;2023-03

4. Nonlinear nonplanar dynamics of porous functionally graded pipes conveying fluid;Communications in Nonlinear Science and Numerical Simulation;2023-02

5. Aeroelastic oscillations of a pitching flexible wing with structural geometric nonlinearities: Theory and numerical simulation;Journal of Sound and Vibration;2020-10