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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.73 No.3
- 발행연도
- 2020.1
- 수록면
- 319 - 330 (12page)
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This paper investigates the free vibrations of cylindrical shells made of time-dependent materials for different viscoelastic models under various boundary conditions. During the extraction of equations, the displacement field is estimated through the first-order shear deformation theory taking into account the transverse normal strain effect. The constitutive equations follow Hooke's Law, and the kinematic relations are linear. The assumption of axisymmetric is included in the problem. The governing equations of thick viscoelastic cylindrical shell are determined for Maxwell, Kelvin-Voigt and the first and second types of Zener’s models based on Hamilton’s principle. The motion equations involve four coupled partial differential equations and an analytical method based on the elementary theory of differential equations is used for its solution. Relying on the results, the natural frequencies and mode shapes of viscoelastic shells are identified. Conducting a parametric study, we examine the effects of geometric and mechanical properties and boundary conditions, as well as the effect of transverse normal strain on natural frequencies. The results in this paper are compared against the results obtained from the finite elements analysis. The results suggest that solutions achieved from the two methods are ideally consistent in a special range.
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참고문헌 (34)
참고문헌 신청
Apuzzo, A. / 2018 / Free vibrations of elastic beams by modified nonlocal strain gradient theory / J. Eng. Sci 133:99~108
Barretta, R. / 2018 / Free vibrations of FG elastic Timoshenko nano-beams by strain gradient and stress-driven nonlocal models / Compos Part B. Eng 154:20~32
Barretta, R. / 2018 / Longitudinal vibrations of nano-rods by stress-driven integral elasticity / Mech. Adv. Mater. Struct 26(15):1307~1315
Bhimaraddi, A. / 1984 / A higher order theory for free vibration analysis of circular cylindrical shells / J. Solids Struct 20(7):623~630
Boresi, A.P / 2010 / Elasticity in Engineering Mechanics / John Wiley and Sons
Barretta, R. / 2018 / Free vibrations of FG elastic Timoshenko nano-beams by strain gradient and stress-driven nonlocal models / Compos Part B. Eng 154:20~32
Barretta, R. / 2018 / Longitudinal vibrations of nano-rods by stress-driven integral elasticity / Mech. Adv. Mater. Struct 26(15):1307~1315
Bhimaraddi, A. / 1984 / A higher order theory for free vibration analysis of circular cylindrical shells / J. Solids Struct 20(7):623~630
Boresi, A.P / 2010 / Elasticity in Engineering Mechanics / John Wiley and Sons
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