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R. Cook, D. Malkus, M. Plesha, R. Witt (1974)
Concepts and Applications of Finite Element Analysis
A. Öchsner, M. Merkel (2012)
One-Dimensional Finite Elements: An Introduction to the FE Method
A. Öchsner (2016)
Computational Statics and Dynamics
G. Buchanan (1995)
Schaum's Outline of Theory and Problems of Finite Element Analysis
W. Sharpe (2008)
Springer Handbook of Experimental Solid Mechanics
J. Reddy (1999)
On the dynamic behaviour of the Timoshenko beam finite elementsSadhana, 24
Z. Javanbakht, A. Öchsner (2017)
Advanced Finite Element Simulation with MSC Marc
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LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic barsPhilosophical Magazine Series 1, 41
A. Öchsner, M. Öchsner (2016)
The Finite Element Analysis Program MSC Marc/Mentat
A. Öchsner, M. Merkel (2013)
One-Dimensional Finite Elements
A. Öchsner, Z. Javanbakht (2017)
Computational Statics Revision Course
[This chapter treats one-dimensional finite elements with two nodes. Rods for tensile deformation and thin and thick beams for bending deformation are introduced based on their elemental finite element equation and the corresponding relationships for post-processing. Both element types are superposed to the generalized beam element which can elongate and bend. In a further step, the elements are arranged in a single plane to form truss or frame structures. The provided elements are finally applied to the extensometer design problem.]
Published: Nov 18, 2017
Keywords: Generalized Beam Element; Principal Finite Element Equation; Equivalent Nodal Loads; Elementary Column Matrix; Positive Rotation Angle
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