Effect of intermediate support on critical stability of a cantilever with non-conservative loading: Some new results

2020 ◽  
Vol 485 ◽  
pp. 115564
Author(s):  
Mahmoud Abdullatif ◽  
Ranjan Mukherjee
Keyword(s):  
Critical Stability ◽  
Intermediate Support

Effect of Intermediate Support on Instabilities of a Cantilever With Terminal Dynamic Moment

2019 ◽  
Author(s):  
Mahmoud Abdullatif ◽  
Ranjan Mukherjee
Keyword(s):  
Negative Slope ◽  
Positive Slope ◽  
Critical Stability ◽  
Flutter Instability ◽  
Intermediate Support ◽  
Instability Modes ◽  
Stability Point ◽  
The Stability ◽  
The Moment ◽  
Dynamic Moment

Abstract The stability characteristics of a cantilever beam, with and without an intermediate support, subjected to a dynamic terminal moment, is investigated. The moment is assumed to be proportional to the slope of a point along the length of the beam. The proportionally constant, which can be positive or negative, is varied to find the critical stability point. In the absence of intermediate support, stability is lost through divergence when the dynamic moment is proportional to the positive slope, and through flutter when the dynamic moment is proportional to the negative slope. In contrast, the nature of instability switches between divergence and flutter, and between different flutter instability modes while undergoing flutter, in the presence of an intermediate support.

scholarly journals Reduction principle at work

2021 ◽  
Vol 8 (1) ◽  
pp. 46-74
Author(s):  
Christian Pötzsche ◽  
Evamaria Russ
Keyword(s):  
Center Manifold ◽  
Reduction Principle ◽  
Critical Stability ◽  
Center Manifold Reduction ◽  
Infinite Dimensional ◽  
Linearized Stability ◽  
Dichotomy Spectrum ◽  
Nonautonomous Case ◽  
Necessary And Sufficient ◽  
Manifold Reduction

Abstract The purpose of this informal paper is three-fold: First, filling a gap in the literature, we provide a (necessary and sufficient) principle of linearized stability for nonautonomous difference equations in Banach spaces based on the dichotomy spectrum. Second, complementing the above, we survey and exemplify an ambient nonautonomous and infinite-dimensional center manifold reduction, that is Pliss’s reduction principle suitable for critical stability situations. Third, these results are applied to integrodifference equations of Hammerstein- and Urysohn-type both in C- and Lp -spaces. Specific features of the nonautonomous case are underlined. Yet, for the simpler situation of periodic time-dependence even explicit computations are feasible.

Collapse Reasons Analysis of a Large Steel Silo

2011 ◽  
Vol 368-373 ◽  
pp. 647-650
Author(s):  
Yue Dong Sun ◽  
Yan Pu Wang
Keyword(s):  
Temperature Stress ◽  
Critical Stability ◽  
Initial Imperfections ◽  
Stress Calculation ◽  
Large Steel ◽  
Pressure Calculation ◽  
Horizontal Pressure ◽  
Steel Silos ◽  
Design Factors ◽  
Discharge Method

Through the analysis of the collapse reasons of a large steel silo, results show that the main reasons for causing this accident are the design factors, containing horizontal pressure calculation, loads combination, critical stability stress calculation and so on. Temperature stress, storage mode and discharge method, initial imperfections of steel silos are the subordinate reasons and can not be ignored.

Estimation of critical stability parameters by asymptotic analysis in multilayer extrusion

1993 ◽  
Vol 33 (23) ◽  
pp. 1532-1539 ◽  
Author(s):  
Nitin R. Anturkar ◽  
James O. Wilkes ◽  
Tasos C. Papanastasiou
Keyword(s):  
Asymptotic Analysis ◽  
Critical Stability ◽  
Stability Parameters

Potential rapid evaluation of chemical antineoplastic activity based on critical stability limits of ionic homeostasis

1982 ◽  
Vol 16 (2) ◽  
pp. 93-97
Author(s):  
Z. S. Toktamysova ◽  
A. G. Malenkov ◽  
H. Kh. Birzhanova ◽  
G. G. Buzurbaev ◽  
B. S. Balmukhanov
Keyword(s):  
Antineoplastic Activity ◽  
Rapid Evaluation ◽  
Critical Stability ◽  
Ionic Homeostasis ◽  
Stability Limits
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