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Development of fully coupled deviated well drill string dynamics simulation model for fatigue and vibration analysis. [PDF]

Simulation
Liyanarachchi S, Rideout G.
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Microfluid-induced nonlinear free vibration of microtubes

International Journal of Engineering Science, 2014
Abstract The microfluid-induced nonlinear free vibration of microtubes is studied in this paper. A derivation of the nonlinear equation of motion is presented based on Hamilton’s principle and a modified couple stress theory. The geometric nonlinearity, arising from the mid-plane stretching, is taken into account. The modified couple stress theory is
Tian-Zhi Yang, Shude Ji, Xiao-Dong Yang, Bo Fang   +3 more
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Nonlinear Free Vibration of Microtubes

2021
Microtubes have been widely used and studied in different applications such as capacitive switches.
Vasile Marinca, Nicolae Herisanu, Bogdan Marinca   +2 more
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Surface effects on nonlinear free vibration of nanobeams

Composites Part B: Engineering, 2011
Abstract The nonlinear flexural vibrations of micro- and nanobeams in presence of surface effects are studied within the framework of Euler–Bernoulli beam theory including the von Karman geometric nonlinearity. Exact solution is obtained for the natural frequencies of a simply-supported nanobeam in terms of the Jacobi elliptic functions by using the ...
Behnam Gheshlaghi, Seyyed M. Hasheminejad   +1 more
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Nonlinear free vibrations of elastic structures

International Journal of Solids and Structures, 1973
Abstract An approach to nonlinear free vibrations of elastic structures is developed with the aid of Hamilton's principle and a perturbation procedure. The theory is analogous to the theory of initial postbuckling behavior due to Koiter. It provides information regarding the first order effects of finite displacements upon the frequency, period and ...
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Nonlinear Free Vibrations of Suspension Bridges: Application

Journal of Engineering Mechanics, 1983
The basic characteristics of the nonlinear free flexural‐torsional vibrations of two suspension bridges are examined. The Golden Gate Bridge and the Vincent‐Thomas Bridge were chosen to represent both a relatively long‐and a relatively short‐span suspension bridge's vibrations. The amplitude‐frequency relationships of the first six modes (symmetric and
Ahmed M. Abdel‐Ghaffar, Lawrence I. Rubin   +1 more
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Nonlinear free vibrations of a beam with hysteretic damage

Journal of Sound and Vibration, 2013
Abstract This paper presents an asymptotic analysis of the nonlinear free vibration of a beam with a damage plane represented by nonlinear hysteretic bending and shear springs. The perturbation or damage parameter is the product of the ratio of the nonlinear to linear parts of the stiffness times the amplitude of the free vibration.
Daniel A. Mendelsohn, Claudio Pecorari
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Nonlinear Free Vibrations of Suspension Bridges: Theory

Journal of Engineering Mechanics, 1983
A general theory and analysis of the nonlinear free coupled vertical-torsional vibrations of suspension bridges with horizontal decks are presented. Approximate solutions are developed by using the method of multiple scales via a perturbation technique.
Ahmed M. Abdel‐Ghaffar, Lawrence I. Rubin   +1 more
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Nonlinear free vibration of piezoelectric cylindrical nanoshells

Applied Mathematics and Mechanics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Yanqing, Liu, Yunfei, Zu, J. W.
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Free vibration of a beam on a nonlinear elastic foundation

1987
Free vibration of a beam clamped at both ends, resting on a nonlinear elastic foundation and under an axial compressive load is studied by applying the ultraspherical polynomial approximation technique. The influence of the axial compressive force and the linear and nonlinear cubic elastic foundations on the frequencies are predicted and compared with ...
CHANDRASEKHARAPPA, G, SRIRANGARAJAN, HR
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