Buckling analysis of beam structure with absolute nodal coordinate formulation-Reference-Cited by-同舟云学术

Buckling analysis of beam structure with absolute nodal coordinate formulation

Published:2020-08-02 Issue:9 Volume:235 Page:1585-1592
ISSN:0954-4062
Container-title:Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
language:en
Short-container-title:Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Author:

Wang Jia¹,Wang Tengfei²^ORCID

Affiliation:

1. School of Mechanical Engineering, Shenyang University of Technology, Shenyang, China

2. State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi'an Jiaotong University, Xi'an, China

Abstract

Absolute nodal coordinate formulation (ANCF) was applied to the buckling analysis. A delicate analysis scheme based on dichotomy method was proposed to solve the buckling problem with beam elements whose tangent stiffness matrix is a highly nonlinear function of nodal coordinates. Three existing planar beam elements are employed to show the application. The accuracy and capability of the ANCF beam for buckling analysis was validated with benchmark cases. Additionally, the influence of the shear effect on the buckling load is thoroughly investigated by comparing the solutions associated with different shear stiffness and slenderness.

Publisher

SAGE Publications

Subject

Mechanical Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/0954406220947117

Reference16 articles.

1. Structural and Continuum Mechanics Approaches for a 3D Shear Deformable ANCF Beam Finite Element: Application to Buckling and Nonlinear Dynamic Examples

2. An efficient model reduction method for buckling analyses of thin shells based on IGA

3. Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive, Solutio problematis isoperimetrici latissimo sensu accepti

Cited by 11 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. Mechanically induced temperature oscillations in the coupled thermo-elasticity analysis of articulated dynamical systems;Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics;2023-11-27

2. Thermo-elasticity displacement formulation for constrained articulated mechanical systems;Mechanics Based Design of Structures and Machines;2023-04-19

3. An overview of the ANCF approach, justifications for its use, implementation issues, and future research directions;Multibody System Dynamics;2023-03-02

4. In-plane nonlinear postbuckling and buckling analysis of Lee’s frame using absolute nodal coordinate formulation;Curved and Layered Structures;2023-01-01

5. Structural behaviour of air-inflated beams;Structures;2023-01