应用数学和力学2024，Vol.45Issue(2)：208-219,12.DOI:10.21656/1000-0887.440260
一维纳米准晶层合梁的非局部振动、屈曲与弯曲研究
Nonlocal Vibration,Buckling and Bending of 1D Layered Quasicrystal Nanobeams
摘要
Abstract
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.关键词
纳米准晶/简支梁/自由振动/屈曲/弯曲/非局部效应Key words
nano-quasicrystal/simply supported beam/free vibration/buckling/bending/nonlocal effect分类
力学引用本文复制引用
原庆丹,郭俊宏..一维纳米准晶层合梁的非局部振动、屈曲与弯曲研究[J].应用数学和力学,2024,45(2):208-219,12.基金项目
国家自然科学基金(12072166) （12072166）
内蒙古自治区科技计划项目(2021GG0254) （2021GG0254）
内蒙古自治区直属高校基本科研业务费(JY20220075) （JY20220075）
