Steel and Composite Structures

  • 제3권3호
  • /
  • Pages.213-229
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  • 2003
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

A high precision shear deformable element for free vibration of thick/thin composite trapezoidal plates

  • Haldar, S. (Department of Applied Mechanics, B. E. College (D. U.)) ;
  • Manna, M.C. (Department of Applied Mechanics, B. E. College (D. U.))
  • 투고 : 2002.12.16
  • 심사 : 2003.06.05
  • 발행 : 2003.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

A high precision shear deformable triangular element has been proposed for free vibration analysis of composite trapezoidal plates. The element has twelve nodes at the three sides and four nodes inside the element. Initially the element has fifty-five degrees of freedom, which has been reduced to forty-eight by eliminating the degrees of freedom of the internal nodes through static condensation. Plates having different side ratios (b/a), boundary conditions, thickness ratios (h/a=0.01, 0.1 and 0.2), number of layers and fibre angle orientations have been analyzed by the proposed shear locking free element. Trapezoidal laminate with concentrated mass at the centre has also been analyzed. An efficient mass lumping scheme has been recommended, where the effect of rotary inertia has been included. For validation of the present element and formulation few results of isotropic trapezoidal plate and square composite laminate have been compared with those obtained from open literatures. The numerical results for composite trapezoidal laminate have been given as new results.

키워드

참고문헌

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피인용 문헌

  1. Free vibration analysis of moderately thick trapezoidal symmetrically laminated plates with various combinations of boundary conditions vol.36, 2012, https://doi.org/10.1016/j.euromechsol.2012.03.004
  2. Analysis of shear deformable laminated composite trapezoidal plates vol.30, pp.8, 2009, https://doi.org/10.1016/j.matdes.2008.12.016
  3. Flutter analysis of hybrid metal-composite low aspect ratio trapezoidal wings in supersonic flow vol.30, pp.1, 2017, https://doi.org/10.1016/j.cja.2016.12.016
  4. A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports vol.69, 2013, https://doi.org/10.1016/j.ijmecsci.2012.12.016
  5. Vibration behavior of trapezoidal sandwich plate with functionally graded-porous core and graphene platelet-reinforced layers vol.36, pp.1, 2003, https://doi.org/10.12989/scs.2020.36.1.047