Critical load analysis of undamped nonconservative systems using bieigenvalue curves

AIAA Journal ◽  
1994 ◽  
Vol 32 (12) ◽  
pp. 2462-2468 ◽  
Author(s):  
Shyh-Rong Kuo ◽  
Yeong-Bin Yang
Keyword(s):  
Critical Load ◽  
Nonconservative Systems ◽  
Load Analysis

Follower forces: Leipholz's early researches in elastic stability

1990 ◽  
Vol 17 (3) ◽  
pp. 277-286 ◽  
Author(s):  
G. M. L. Gladwell
Keyword(s):  
Critical Load ◽  
Key Words ◽  
Lower Bounds ◽  
Critical Loads ◽  
Elastic Stability ◽  
Follower Force ◽  
Historical Account ◽  
Nonconservative Systems ◽  
Flutter Instability ◽  
Force Systems

This paper provides an historical account of Leipholz's research into elastic stability. Emphasis is placed on divergence and flutter instability of follower force systems, the derivation of lower bounds for the critical load for divergence, and estimates for critical loads for flutter. Key words: elastic stability, divergence, flutter, lower bounds, nonconservative systems, symmetrisable matrix.

Sur les opérateurs différentiels symétrisants relatifs aux systèmes non-conservatifs

1998 ◽  
Vol 76 (5) ◽  
pp. 403-420
Author(s):  
R El Abdi ◽  
G Gambart
Keyword(s):  
Exact Solutions ◽  
Critical Load ◽  
General Expression ◽  
Critical Frequency ◽  
Differential Operators ◽  
Adjoint Problem ◽  
New Method ◽  
Numerical Comparison ◽  
Nonconservative Systems

For nonconservative systems, which we call systems with follower loads, a study is proposed concerning the differential operators which lead to a self-adjoint problem for a generalization of the Rayleigh quotient.In the case of punctual loads, we give the general expression for the identification of these operators. For some systems under follower loads, a new method is developed for the identification of the eigenvalues (critical load and critical frequency) when these operators do not exist. A numerical comparison is presented when the exact solutions do exist. PACS Nos. : 02.00 et 03.00

Critical Load Analysis for a Layered Half-Space under Sliding Indentation

2006 ◽  
Vol 49 (4) ◽  
pp. 513-525 ◽  
Author(s):  
Zhiqiang Liu ◽  
Jian Sun ◽  
Weidian Shen
Keyword(s):  
Critical Load ◽  
Half Space ◽  
Load Analysis ◽  
Layered Half Space

On the Sufficiency of the Energy Criterion for the Stability of Certain Nonconservative Systems of the Follower-Load Type

1972 ◽  
Vol 39 (3) ◽  
pp. 717-722 ◽  
Author(s):  
H. H. E. Leipholz
Keyword(s):  
Lower Bound ◽  
Critical Load ◽  
Energy Criterion ◽  
Conservative System ◽  
Buckling Load ◽  
Follower Load ◽  
Nonconservative System ◽  
Nonconservative Systems ◽  
Divergence Type ◽  
The Stability

Using Galerkin’s method it is shown that in the domain of divergence, the nonconservative system of the follower-load type is always more stable than the corresponding conservative system. Hence, for nonconservative systems of the divergence type, the critical load of the corresponding conservative system becomes a lower bound for the buckling load, and the energy criterion remains sufficient for predicting stability. Moreover, it is proven that even for more general nonconservative systems, the energy criterion is sufficient under certain restrictions.

Critical load analysis in hazard assessment of metals using a Unit World Model

2011 ◽  
Vol 30 (9) ◽  
pp. 2157-2166 ◽  
Author(s):  
Nilima Gandhi ◽  
Satyendra P. Bhavsar ◽  
Miriam L. Diamond
Keyword(s):  
Critical Load ◽  
Hazard Assessment ◽  
World Model ◽  
Load Analysis
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