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ERROR ANALYSIS OF A HYBRID BEAM ELEMENT WITH TIMOSHENKO STIFFNESS AND CLASSICAL MASS

P. JAFARALI

CSIR Centre for Mathematical Modelling and Computer Simulation, Bangalore 560 037, India

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LALITHA CHATTOPADHYAY

Structures Division, National Aerospace Laboratories, Bangalore 560 017, India

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G. PRATHAP

CSIR Centre for Mathematical Modelling and Computer Simulation, Bangalore 560 037, India

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, and

S. RAJENDRAN

School of Mechanical and Production Engineering, Nanyang Technological University, Singapore 639 798, Singapore

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https://doi.org/10.1142/S1465876304002538Cited by:2 (Source: Crossref)

Abstract

We review critically the performance of an ingeniously designed hybrid beam element that uses a stiffness matrix based on Timoshenko theory but retains the mass matrix from classical beam theory. This clever engineering trick gives seemingly very accurate results in thin beam situations. However, the physics of thick beam behavior is consequently misrepresented. A careful study reveals that cancellation of errors is responsible for the apparent "accurate" performance.

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Vol. 05, No. 03

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ERROR ANALYSIS OF A HYBRID BEAM ELEMENT WITH TIMOSHENKO STIFFNESS AND CLASSICAL MASS

Abstract

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