一维纳米准晶层合梁的非局部振动、屈曲与弯曲研究OA北大核心CSTPCD

Based on the nonlocal theory,a 1D layered nano-quasicrystal(QC)simply supported beam model was established to investigate the free vibration,buckling behavior,and bending deformation of nano-QC beams.The pseudo-Stroh formula was used to derive the governing equations for the nanobeam.Using the transfer matrix method,exact solutions of the natural frequency,the critical buckling load,the generalized dis-placement and the generalized stress for bending problems of layered nano-QC beams was obtained under sim-ply supported boundary conditions.The effects of the height-span ratio,the layer thickness ratio,the stacking sequence,and the nonlocal effect on the natural frequency,the critical buckling load and the bending deforma-tion of layered nano-QC simply supported beams were analyzed.The results show that,the natural frequency and the critical buckling load decrease with increasing nonlocal parameter.The bigger the outer-layer quasicrys-tal elastic constant is,the higher the natural frequency and the buckling critical load will be.The stacking se-quence has a significant effect on the mechanical behavior of nano-QC beams.The obtained exact solution pro-vides a reference for various numerical methods and experimental results of nanoscale beam structures.