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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.80 No.4
- 발행연도
- 2021.11
- 수록면
- 455 - 462 (8page)
이용수
초록· 키워드
오류제보하기
For the first time, the finite Fourier integral transform approach is extended to analytically solve the free vibration problem of rectangular thin plates with two adjacent edges rotationally-restrained and others free. Based on the fundamental transform theory, the governing partial differential equations (PDEs) of the plate is converted to ordinary linear algebraic simultaneous equations without assuming trial function for deflection, which reduces the mathematical complexity caused by both the free corner and rotationally-restrained edges. By coupling with mathematical manipulation, the analytical solutions are elegantly achieved in a straightforward procedure. In addition, the vibration characteristics of plates under classical boundary conditions are also studied by choosing different rotating fixed coefficients. Finally, more than 400 comprehensive analytical solutions were well validated by finite element method (FEM) results, which can be served as reference data for further studies.
The advantages of the present method are that it does not need to preselect the deformation function, and it has general applicability to various boundary conditions. The presented approach is promising to be further extended to solve the static and dynamic problems of moderately thick plates and thick plates.
목차
등록된 정보가 없습니다.
참고문헌 (62)
참고문헌 신청
ABAQUS / 2013 / Analysis User’S Guide V6.13 / Dassault Systèmes
Abolghasemi, S. / 2016 / An analytical procedure to study vibration of rectangular plates under non-uniform in-plane loads based on first-order shear deformation theory / Arch. Appl. Mech 86(5):853~867
Canales, F. G. / 2018 / An assessment of fluid compressibility influence on the natural frequencies of a submerged plate via unified formulation / Ocean Eng 147:414~430
Chen, Y. / 2014 / Flexural and in-plane vibration analysis of elastically restrained thin rectangular plate with cutout using Chebyshev-Lagrangian method / Int. J. Mech. Sci 89:264~278
Civalek, Ö. / 2013 / Vibration analysis of microscaled sector shaped graphene surrounded by an elastic matrix / Comput. Mater. Sci 77:295~303
Abolghasemi, S. / 2016 / An analytical procedure to study vibration of rectangular plates under non-uniform in-plane loads based on first-order shear deformation theory / Arch. Appl. Mech 86(5):853~867
Canales, F. G. / 2018 / An assessment of fluid compressibility influence on the natural frequencies of a submerged plate via unified formulation / Ocean Eng 147:414~430
Chen, Y. / 2014 / Flexural and in-plane vibration analysis of elastically restrained thin rectangular plate with cutout using Chebyshev-Lagrangian method / Int. J. Mech. Sci 89:264~278
Civalek, Ö. / 2013 / Vibration analysis of microscaled sector shaped graphene surrounded by an elastic matrix / Comput. Mater. Sci 77:295~303
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