A Fundamental Study on the Free Vibration of Geometrical Nonlinear Cantlever Beam using an Exact Solution and Experimental Investigation

• Autorzy: Jamal-Omidi M. , Shayanmehr M. , Sazesh S.

Identyfikatory

DOI

10.24425/119410

• Języki publikacji: EN

Abstrakty

EN

Two fundamental challenges in investigation of nonlinear behavior of cantilever beam are the reliability of developed theory in facing with the reality and selecting the proper assumptions for solving the theory-provided equation. In this study, one of the most applicable theory and assumption for analyzing the nonlinear behavior of the cantilever beam is examined analytically and experimentally. The theory is concerned with the slender inextensible cantilever beam with large deformation nonlinearity, and the assumption is using the first-mode discretization in dealing with the partial differential equation provided by the theory. In the analytical study, firstly the equation of motion is derived based on the theory of large deformable inextensible beam. Then, the partial differential equation of motion is discretized using the Galerkin method via the assumption of the first mode. An exact solution to the obtained nonlinear ordinary differential equation is developed, because the available semi analytical and approximated methods, due to their limitations, are not always sufficiently reliable. Finally, an experiment set-up is developed to measure the nonlinear frequency of oscillations of an aluminum beam within a domain of initial displacement. The results show that the proposed analytical method has excellent convergence with experimental data.

Słowa kluczowe

EN

cantilever beam; geometrical nonlinearity; free vibrations; exact solution; experimental test

PL

belka wspornikowa; nieliniowość geometryczna; drgania swobodne; dokładne rozwiązanie; test doświadczalny

• Wydawca: Komitet Budowy Maszyn PAN
• Czasopismo: Archive of Mechanical Engineering
• Rocznik: 2018
• Tom: Vol. LXV, nr 1
• Strony: 65--82
• Opis fizyczny: Bibliogr. 29 poz., rys., tab.

Twórcy

autor

Jamal-Omidi M.

• Department of Aerospace Engineering, Space Research Institute, Malek-Ashtar University of Technology, Tehran, Iran

autor

Shayanmehr M.

• Department of Aerospace Engineering, Space Research Institute, Malek-Ashtar University of Technology, Tehran, Iran

autor

Sazesh S.

• Department of New Sciences and Technologies, University of Tehran, Tehran, Iran

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).