Modified Nonlinear 3D Euler Bernoulli Beam Theory

• Published in: Journal of System Design and Dynamics Vol. 2; no. 5; pp. 1170 - 1182
• Main Authors: ZOHOOR, Hassan, KHORSANDIJOU, S. Mahdi, ABEDINNASAB, Mohammad H.
• Format: Journal Article
• Language: English
• Published: The Japan Society of Mechanical Engineers 2008
• Subjects: Elastic Orientation; Elastic Potential Energy; Euler-Bernoulli Beam Theories; Extra Elastic Terms; Fully-Enhanced Variation of Elastic Potential Energy
• ISSN: 1881-3046; 1881-3046
• DOI: 10.1299/jsdd.2.1170

Using the fully-enhanced variation of elastic potential energy the secondary extra elastic terms have been revealed in the dynamic model of a nonlinear 3D Euler-Bernoulli beam undergoing negligible elastic orientation. They have been sensed neither in the nonlinear 3D Euler-Bernoulli beam nor in the enhanced nonlinear 3D Euler-Bernoulli beam. They complete the issue of the new elastic terms of the enhanced nonlinear 3D Euler-Bernoulli beam. The whole of the extra elastic terms have been shown in the motion equations and the boundary conditions of a fully-enhanced nonlinear 3D Euler-Bernoulli beam undergoing negligible elastic orientation.