基于n阶GBT初始轴向载荷影响下FGM梁的振动特性

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Abstract The vibration behavior of functional gradient material(FGM) beams on elastic foundation under the action of initial axial load was investigated.Based on an extended n-th generalized shear deformation beam theory and applying Hamilton’s principle, the free vibration governing equations of the mechanical model for the system was developed, in which the unknown basic functions are the axial displacement, shear and bending components of deflection.Introducing boundary condition coefficients and applying a modified generalized differential quadrature(MGDQ) method, the static and dynamic responses of FGM beams were obtained.The availability and accuracy of the extended theory and the method were verified through numerical examples and herein the ideal value of n was proposed.The study refines the beam theories and the result can be used as a benchmark to verify or modify other various shear deformation beam theories.The numerical solution by using MGDQ was validated and the process can expand its applicable scope.The effects of the initial axial load, boundary conditions, material graded index, elastic foundation stiffness, and length-to-thickness ratio on the vibration characteristics of FGM beams were mainly analyzed.

Key words： functionally graded materials (FGM) beam a n-th generalized shear beam theory(n-GBT) initial axial load natural frequency modified generalized differential quadrature (MGDQ) method

Received: 14 August 2018 Published: 15 January 2020

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	PU Yu1
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	ZHOU Fengxi2

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PU Yu1,2,ZHOU Fengxi2. Vibration characteristics of FGM beams under the action of initial axial load-based on a n-th generalized shear beam theory[J]. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(2): 100-106.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2020/V39/I2/100

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