Vibrations of the Euler–Bernoulli Beam Under a Moving Force Based on Various Versions of Gradient Nonlocal Elasticity Theory: Application in Nanomechanics

• Autorzy: Śniady Paweł , Misiurek Katarzyna , Szyłko-Bigus Olga , Idzikowski Rafał

Identyfikatory

DOI

10.2478/sgem-2019-0049

• Języki publikacji: EN

Abstrakty

EN

Two 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.

Słowa kluczowe

EN

vibration; beam; moving force; nonlocal elasticity

• Wydawca: De Gruyter
• Czasopismo: Studia Geotechnica et Mechanica
• Rocznik: 2020
• Tom: Vol. 42, nr 4
• Strony: 306--318
• Opis fizyczny: Bibliogr. 44 poz., rys.

Twórcy

autor

Śniady Paweł

• Faculty of Environmental Engineering and Geodesy, Wroclaw University of Environmental and Life Science, ul. Grunwaldzka 55, 50-357 Wroclaw, Poland

autor

Misiurek Katarzyna

• Faculty of Civil Engineering, Wroclaw University of Science and Technology pl. Grunwaldzki 11, 50-377 Wroclaw, Poland

autor

Szyłko-Bigus Olga

• Faculty of Civil Engineering, Wroclaw University of Science and Technology pl. Grunwaldzki 11, 50-377 Wroclaw, Poland

autor

Idzikowski Rafał

• Faculty of Environmental Engineering and Geodesy, Wroclaw University of Environmental and Life Science, ul. Grunwaldzka 55, 50-357 Wroclaw, Poland

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Uwagi

1. Błędna numeracja w bibliografii.

2. Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).