Efficient geometric nonlinear elastic analysis for design of steel structures: Benchmark studies

2021 ◽  
Vol 186 ◽  
pp. 106870
Author(s):  
C.W. Ziemian ◽  
R.D. Ziemian
Keyword(s):  
Steel Structures ◽  
Elastic Analysis ◽  
Geometric Nonlinear ◽  
Nonlinear Elastic Analysis ◽  
Nonlinear Elastic

Elastica of Cantilever Beam under Two Follower Forces

1997 ◽  
Vol 1 (2) ◽  
pp. 159-165 ◽  
Author(s):  
Wibisono Hartono
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Cantilever Beam ◽  
Elastic Analysis ◽  
The Finite Element Method ◽  
Nonlinear Elastic Analysis ◽  
Displacement Theory ◽  
Follower Forces ◽  
Nonlinear Elastic ◽  
Good Agreement

This paper presents a nonlinear elastic analysis of cantilever beam subjected to two follower forces. Those two proportional forces are always perpendicular to the beam axis. The solution of differential equations based on the large displacement theory, known as elastica is obtained with the help of principle of elastic similarity. For comparison purpose, numerical results using the finite element method are also presented and the results show good agreement.

Nonlinear Elastic Analysis of Blood Vessels

1984 ◽  
Vol 106 (4) ◽  
pp. 376-383 ◽  
Author(s):  
S. G. Wu ◽  
G. C. Lee ◽  
N. T. Tseng
Keyword(s):  
Blood Vessels ◽  
Elastic Analysis ◽  
Nonlinear Elastic Analysis ◽  
Nonlinear Elastic

Control Theory Formulation for Nonlinear Elastic Analysis of Trusses

AIAA Journal ◽  
1972 ◽  
Vol 10 (4) ◽  
pp. 527-529 ◽  
Author(s):  
N. M. SINGARAJ ◽  
JAWALKER K. SRIDHAR ROA
Keyword(s):  
Control Theory ◽  
Elastic Analysis ◽  
Theory Formulation ◽  
Nonlinear Elastic Analysis ◽  
Nonlinear Elastic

Stress Analysis and Design for Cyclic Loading

2000 ◽  
Vol 122 (4) ◽  
pp. 427-430
Author(s):  
P. Carter
Keyword(s):  
Thermal Loading ◽  
Limit Load ◽  
Elastic Analysis ◽  
Analysis And Design ◽  
Linear Elastic ◽  
Inelastic Analysis ◽  
Nonlinear Elastic Analysis ◽  
Comprehensive Framework ◽  
Nonlinear Elastic ◽  
Effective Design

A finite element implementation of rapid cycle analysis is described and demonstrated. It forms part of a comprehensive framework for static structural analysis which consists of: linear elastic analysis, limit load or nonlinear elastic analysis, and rapid cycle analysis. This approach allows for complex material and loading behavior, but is computationally more efficient and easier to perform than full inelastic analysis. It indicates more complex behavior than can be inferred from linear elastic analysis. The objective of this paper is to calculate shakedown, reverse plasticity, ratcheting, and the increase in strain rate as a result of cyclic mechanical and thermal loading. Results are presented in the form of interaction diagrams, similar to the O’Donnell-Porowski plot in the ASME BPV Code, which are effective design tools. [S0094-9930(00)01604-8]

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