Timoshenko–Ehrenfest Beam Theory
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Timoshenko–Ehrenfest Beam Theory
The Timoshenko–Ehrenfest beam theory was developed by Stephen Timoshenko and Paul EhrenfestIsaac Elishakoff (2020) "Who developed the so-called Timoshenko beam theory?", ''Mathematics and Mechanics of Solids'' 25(1): 97–116 early in the 20th century.Timoshenko, S. P. (1921) "LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars", ''The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science'' 41(245): 744–746 Timoshenko, S. P. (1922) "X. On the transverse vibrations of bars of uniform cross-section", ''The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science'' 43(253): 125–131 The model takes into account shearing (physics), shear deformation and rotational bending effects, making it suitable for describing the behaviour of thick beams, sandwich-structured composite, sandwich composite beams, or beams subject to high-frequency excitation when the wavelength approaches the thick ...
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Solid Mechanics
Solid mechanics (also known as mechanics of solids) is the branch of continuum mechanics that studies the behavior of solid materials, especially their motion and deformation (mechanics), deformation under the action of forces, temperature changes, phase (chemistry), phase changes, and other external or internal agents. Solid mechanics is fundamental for civil engineering, civil, Aerospace engineering, aerospace, nuclear engineering, nuclear, Biomedical engineering, biomedical and mechanical engineering, for geology, and for many branches of physics and chemistry such as materials science. It has specific applications in many other areas, such as understanding the anatomy of living beings, and the design of dental prosthesis, dental prostheses and surgical implants. One of the most common practical applications of solid mechanics is the Euler–Bernoulli beam theory, Euler–Bernoulli beam equation. Solid mechanics extensively uses tensors to describe stresses, strains, and the r ...
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