A NEW PERSPECTIVE FOR STABILITY ANALYSIS OF STRUCTURES

Author:

Ranjbaran Abdolrasoul1,Ranjbaran Mohammad2,Ranjbaran Fatema3,Rousta Ali Mohammad2,Hashemi Shamsodin2

Affiliation:

1. Shiraz University, Shiraz, Iran

2. Yasouj University, Yasouj, Iran

3. Amirkabir University, Tehran, Iran

Abstract

The classical methods for stability analysis of structures contain some levels of epistemic uncertainty. This paper presents an alternative method for the analysis of system stability phenomena. The analysis is conducted by using a new method which is called the change of state philosophy. The phenomenon is considered as the change in the state of the system in this method. The basic principle in the formulation is the use of an equation in which the product of the key parameter of the system and its inverse is set equal to 1. Logical reasoning and mathematics principles are used to explicitly derive the basic theory. The results are presented as the Persian curve which is a super function of the state functions. The accuracy of the proposed method has been verified by using several examples related to the ultimate strength analysis of structural systems. The state functions are defined as explicit functions of the state variable. The state variable is an identification parameter of the system.

Publisher

NED University of Engineering and Technology

Subject

General Medicine

Reference22 articles.

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2. Euler L. Sur la forces des colonnes. Memoires de l'Academie Royale des Sciences et Belles Lettres 1757;13:252-282.

3. Chen WF, Lui EM. Structural stability: theory and implementation. Elsevier Science Publishing Co., Inc., USA, 1987.

4. Ayrton WE, Perry J. On Struts. Engineer 1886;62:464-500.

5. Robertson A. The Strength of Struts. ICE Selected Eng Papers 1925;28:1-10.

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