典型文献
Bending and vibration of two-dimensional decagonal quasicrystal nanoplates via modified couple-stress theory
文献摘要：
Based on the modified couple-stress theory, the three-dimensional (3D) bending deformation and vibration responses of simply-supported and multilayered two- dimensional (2D) decagonal quasicrystal (QC) nanoplates are investigated. The surface loading is assumed to be applied on the top surface in the bending analysis, the traction- free boundary conditions on both the top and bottom surfaces of the nanoplates are used in the free vibration analysis, and a harmonic concentrated point loading is applied on the top surfaces of the nanoplates in the harmonic response analysis. The general solutions of the extended displacement and traction vectors for the homogeneous QC nanoplates are derived by solving the eigenvalue problem reduced from the final governing equations of motion with the modified couple-stress effect. By utilizing the propagator matrix method, the analytical solutions of the displacements of bending deformation for the phonon and phason fields, the natural frequency of free vibration, and the displacements of the har- monic responses of the phonon and phason fields are obtained. Numerical examples are illustrated to show the effects of the quasiperiodic direction, the material length scale parameter, and the the stacking sequence of the nanoplates on the bending deformation and vibration responses of two sandwich nanoplates made of QC and crystal materials.
文献关键词：
中图分类号：
作者姓名：
Miao ZHANG;Junhong GUO;Yansong LI
作者机构：
Department of Mechanics,Inner Mongolia University of Technology,Hohhot 010051,China;School of Aeronautics,Inner Mongolia University of Technology,Hohhot 010051,China;College of Architecture and Civil Engineering,Guangdong University of Petrochemical Technology,Maoming 525000,Guangdong Province,China
文献出处：
引用格式：
[1]Miao ZHANG;Junhong GUO;Yansong LI-.Bending and vibration of two-dimensional decagonal quasicrystal nanoplates via modified couple-stress theory)[J].应用数学和力学（英文版）,2022(03):371-388
A类：
decagonal,propagator,phason
B类：
Bending,vibration,two,dimensional,quasicrystal,nanoplates,via,modified,couple,stress,theory,Based,three,bending,deformation,responses,simply,supported,multilayered,2D,QC,are,investigated,loading,assumed,applied,top,analysis,traction,free,boundary,conditions,both,bottom,surfaces,used,harmonic,concentrated,point,general,solutions,extended,vectors,homogeneous,derived,by,solving,eigenvalue,problem,reduced,from,final,governing,equations,motion,By,utilizing,matrix,method,analytical,displacements,phonon,fields,natural,frequency,obtained,Numerical,examples,illustrated,show,effects,quasiperiodic,direction,length,scale,parameter,stacking,sequence,sandwich,made,materials
AB值：
0.428507
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