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Keywords: non-homogeneous finite strip method, basic functions, roots of characteristic equations, numerical analysis..

Summary

Basic dynamic features of the folded-plate structures are determined by free vibration, which is measured by natural frequencies and mode shapes of vibration. This is of great importance in defining of the response of structures to dynamic loading.

Stability and instability of a statically equilibrium state are conventionally defined in terms of the free motions of the system following an infinitesimal and once-andfor- all disturbance from the equilibrium state. Static bifurcation buckling behavior of the folded-plate structures can be obtained from linear equations, solving the standard characteristic-value problem by a matrix of initial stress instead of the mass matrix in free vibration.

This paper discusses alternative solvers for the characteristic equations of the basic functions (or eigenfunctions) for various boundary conditions, where the characteristic equations are derived from the beam vibration equation. It analyzes the effect of alternative solvers on the accuracy of basic functions and their integrals, whilst comparing the results to the original (semi-)analytical solution.

A hybrid method for accurately solving characteristic equations and obtaining the required integrals is presented, along with its reference Open Source implementation. An extensive test suite has been developed to verify the method and its implementation for the first one hundred modes of all presented edge boundary conditions.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 106 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: Paper 73 Free Vibration and Bifurcation Buckling Analysis of Folded-Plate Structures using the Harmonic-Coupled Finite Strip Method P. Maric¹, D.D. Milašinovic², D. Goleš², Z. Zivanov¹ and M. Hajdukovic¹ ¹Faculty of Technical Sciences, University of Novi Sad, Subotica, Serbia ²Faculty of Civil Engineering, University of Novi Sad, Subotica, Serbia doi:10.4203/ccp.106.73 purchase the full-text of this paper Full Bibliographic Reference for this paper , "Free Vibration and Bifurcation Buckling Analysis of Folded-Plate Structures using the Harmonic-Coupled Finite Strip Method", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 73, 2014. doi:10.4203/ccp.106.73 Keywords: non-homogeneous finite strip method, basic functions, roots of characteristic equations, numerical analysis.. Summary Basic dynamic features of the folded-plate structures are determined by free vibration, which is measured by natural frequencies and mode shapes of vibration. This is of great importance in defining of the response of structures to dynamic loading. Stability and instability of a statically equilibrium state are conventionally defined in terms of the free motions of the system following an infinitesimal and once-andfor- all disturbance from the equilibrium state. Static bifurcation buckling behavior of the folded-plate structures can be obtained from linear equations, solving the standard characteristic-value problem by a matrix of initial stress instead of the mass matrix in free vibration. This paper discusses alternative solvers for the characteristic equations of the basic functions (or eigenfunctions) for various boundary conditions, where the characteristic equations are derived from the beam vibration equation. It analyzes the effect of alternative solvers on the accuracy of basic functions and their integrals, whilst comparing the results to the original (semi-)analytical solution. A hybrid method for accurately solving characteristic equations and obtaining the required integrals is presented, along with its reference Open Source implementation. An extensive test suite has been developed to verify the method and its implementation for the first one hundred modes of all presented edge boundary conditions. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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