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Dynamic stability analysis of porous functionally graded beams under hygro-thermal loading using nonlocal strain gradient integral model

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Applied Mathematics and Mechanics(English Edition) 2023年第12期44卷 2071-2092页

作者： Pei ZHANG P.SCHIAVONE Hai QING School of Science Xi’an University of Architecture and TechnologyXi’an 710055China Department of Mechanical Engineering University of AlbertaEdmonton T6G 1H9AlbertaCanada State Key Laboratory of Mechanics and Control for Aerospace Structures Nanjing University of Aeronautics and AstronauticsNanjing 210016China

We present a study on the dynamic stability of porous functionally graded(PFG)beams under hygro-thermal *** variations of the properties of the beams across the beam thicknesses are described by the power-law *** most studies on this topic,we consider both the bending deformation of the beams and the hygro-thermal load as size-dependent,simultaneously,by adopting the equivalent differential forms of the well-posed nonlocal strain gradient integral theory(NSGIT)which are strictly equipped with a set of constitutive boundary conditions(CBCs),and through which both the stiffness-hardening and stiffness-softening effects of the structures can be observed with the length-scale parameters *** the variables presented in the differential problem formulation are *** numerical solution of the dynamic instability region(DIR)of various bounded beams is then developed via the generalized differential quadrature method(GDQM).After verifying the present formulation and results,we examine the effects of different parameters such as the nonlocal/gradient length-scale parameters,the static force factor,the functionally graded(FG)parameter,and the porosity parameter on the ***,the influence of considering the size-dependent hygro-thermal load is also presented.

关键词： nonlocal strain gradient integral model dynamic stability porous functionally graded(PFG)shear deformation beam size-dependent hygro-thermal load generalized differential quadrature method(GDQM)

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