Vibrations of the Euler–Bernoulli Beam Under a Moving Force based on Various Versions of Gradient Nonlocal Elasticity Theory: Application in Nanomechanics
Paweł Śniady , Katarzyna Misiurek , Olga Szyłko-Bigus , Rafał Idzikowski
AbstractTwo models of vibrations of the Euler-Bernoulli beam under a moving force, based on two different versions of the nonlocal gradient theory of elasticity, namely, the Eringen model, in which the strain is a function of stress gradient, and the nonlocal model, in which the stress is a function of strains gradient, were studied and compared. A dynamic response of a finite, simply supported beam under a moving force was evaluated. The force is moving along the beam with a constant velocity. Particular solutions in the form of an infinite series and some solutions in a closed form as well as the numerical results were presented.
|Journal series||Studia Geotechnica et Mechanica, ISSN 0137-6365, e-ISSN 2083-831X, (N/A 70 pkt)|
|Publication size in sheets||0.6|
|Keywords in English||vibration; beam; moving force; nonlocal elasticity|
|ASJC Classification||; ; ;|
|License||Journal (articles only); published final; ; with publication|
|Not used for evaluation||yes|
|Publication indicators||= 1; : 2018 = 1.106|
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