INFLUENCE OF SYMMETRICAL BOUNDARY CONDITIONS ON FREE VIBRATION OF FUNCTIONALLY GRADED CYLINDRICAL SHELLS WITH RING SUPPORT

机译：对称边界条件对带环支撑功能梯度圆柱壳自由振动的影响

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In the present work, the free vibration of thin cylindrical shells with ring support made of functionally graded materials under various symmetrical boundary conditions is presented. Temperature and position dependent material properties are varied linearly through the thickness of the shell. The functionally graded cylindrical shell has ring support which is arbitrarily placed along the shell and imposed a zero lateral deflection. The third order shear deformation theory is employed to formulate the problem. The governing equations of motion are derived using the Hamilton's principle. Results are presented on the frequency characteristics and influence of the boundary conditions and the locations of the ring support on the natural frequencies. The present analysis is validated by comparing the results with those available in the literature.

机译：在本作工作中，提出了在各种对称边界条件下由功能渐变材料制成的薄圆柱形壳体的自由振动。温度和位置依赖性材料特性通过壳的厚度线性变化。功能梯度圆柱形壳体具有环支撑件，其沿着壳体任意地放置并施加零横向偏转。采用第三阶剪切变形理论来制定问题。使用汉密尔顿原则来源的动作的控制方程。结果显示在边界条件的频率特性和影响和振铃支架上的频率特性和影响。通过将结果与文献中可用的结果进行比较来验证本分析。

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《ASME pressure vessels and piping conference;PVP2009》|2010年|P.713-721|共9页
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M. R. Isvandzibaei; M. M. Najafizadeh; P. Khazaeinejad;
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1. Vibration of functionally graded cylindrical shells based on different shear deformation shell theories with ring support under various boundary conditions [J] . M. M. Najafizadeh, M. R. Isvandzibaei Journal of Mechanical Science and Technology . 2009,第8期

机译：基于不同边界条件下带环支撑的不同剪切变形壳理论的功能梯度圆柱壳振动
2. Vibration of functionally graded cylindrical shells based on different shear deformation shell theories with ring support under various boundary conditions [J] . M. M. Najafizadeh, Mohammad Reza Isvandzibaei Journal of Mechanical Science and Technology . 2009,第8期

机译：在不同边界条件下基于不同剪切变形壳理论和环支撑的功能梯度圆柱壳的振动
3. Influence of ring support on free vibration of sandwich functionally graded cylindrical shells with middle layer of isotropic material [J] . Constantinos Soutis, Muhammad Nawaz Naeem, Shahid Hussain Arshad Journal of Engineering Research . 2016,第1期

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4. FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED CYLINDRICAL SHELLS STIFFENED BY UNIFORMLY AND NON-UNIFORMLY DISTRIBUTED RING STIFFENERS [C] . S.A.Moeini, M.Rahaeifard, M.T.Ahmadian, IMECE2009;ASME international mechanical engineering congress and exposition . 2010

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5. Multimode Nonlinear Vibration Analysis of Stiffened Functionally Graded Double Curved Shells in a Thermal Environment [D] . Azizi, Boutros . 2019

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6. Free Vibration Analysis of Closed Moderately Thick Cross-Ply Composite Laminated Cylindrical Shell with Arbitrary Boundary Conditions [O] . Dongyan Shi, Dongze He, Qingshan Wang, 2020

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7. Vibration of functionally graded cylindrical shells with ring support [O] . Rahimi G.H., Ansari R., Hemmatnezhad M. 2011

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8. Stability and Free Vibrations of Thin Cylindrical and Conical Shells of a Circular Cross Section under Various Boundary Conditions [R] . Agenosov, L. G., Sachenkov, A. V. 1970

机译：不同边界条件下圆形截面薄圆柱壳和锥壳的稳定性和自由振动

INFLUENCE OF SYMMETRICAL BOUNDARY CONDITIONS ON FREE VIBRATION OF FUNCTIONALLY GRADED CYLINDRICAL SHELLS WITH RING SUPPORT

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