Advances in aircraft and spacecraft science

  • 제3권4호
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  • Pages.379-397
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  • 2016
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  • 2287-528X(pISSN)
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  • 2287-5271(eISSN)
테크노프레스 (Techno-Press)
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The effect of finite strain on the nonlinear free vibration of a unidirectional composite Timoshenko beam using GDQM

  • Ghasemi, Ahmad Reza (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan) ;
  • Mohandes, Masood (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
  • 투고 : 2015.07.30
  • 심사 : 2015.12.27
  • 발행 : 2016.10.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this manuscript, free vibrations of a unidirectional composite orthotropic Timoshenko beam based on finite strain have been studied. Using Green-Lagrange strain tensor and comprising all of the nonlinear terms of the tensor and also applying Hamilton's principle, equations of motion and boundary conditions of the beam are obtained. Using separation method in single-harmonic state, time and locative variables are separated from each other and finally, the equations of motion and boundary conditions are gained according to locative variable. To solve the equations, generalized differential quadrature method (GDQM) is applied and then, deflection and cross-section rotation of the beam in linear and nonlinear states are drawn and compared with each other. Also, frequencies of carbon/epoxy and glass/epoxy composite beams for different boundary conditions on the basis of the finite strain are calculated. The calculated frequencies of the nonlinear free vibration of the beam utilizing finite strain assumption for various geometries have been compared to von Karman one.

키워드

과제정보

연구 과제 주관 기관 : University of Kashan

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피인용 문헌

  1. Modified couple stress theory and finite strain assumption for nonlinear free vibration and bending of micro/nanolaminated composite Euler–Bernoulli beam under thermal loading vol.231, pp.21, 2017, https://doi.org/10.1177/0954406216656884
  2. A Review on Vibration-Based Condition Monitoring of Rotating Machinery vol.12, pp.3, 2016, https://doi.org/10.3390/app12030972