A novel variable stiffness model was proposed for analyzing elastic-plastic bending problems with arbitrary variable stiffness in detail.First,it was assumed that the material of a rectangular beam is an ideal isotrop...A novel variable stiffness model was proposed for analyzing elastic-plastic bending problems with arbitrary variable stiffness in detail.First,it was assumed that the material of a rectangular beam is an ideal isotropic elastic-plastic material,whose elastic modulus,yield strength,and section height are functions of the axial coordinates of the beam respectively.Considering the effect of shear on the deformation of the beam,the elastic and elastic-plastic bending problems of the axially variable stiffness beam were studied.Then,the analytical solutions of the elastic and elastic-plastic deformation of the beam were derived when the cross-section height and the elastic modulus of the material were varied by special function along the length of the beam respectively.The elastic and elastic-plastic analysis of the variable stiffness beam was carried out using Differential Quadrature Method(DQM)when the bending stiffness varied arbitrarily.The influence of the axial variation of the bending stiffness on the elastic and elastic-plastic deformation of the beam was analyzed by numerical simulation,DQM,and finite element method(FEM).Simulation results verified the practicability of the proposed mechanical model,and the comparison between the results of the solutions of DQM and FEM showed that DQM is accurate and effective in elastic and elastic-plastic analysis of variable stiffness beams.展开更多
针对大型提花机承受载荷时易发生弯曲变形导致拉刀提升高度不够,使直针钩子无法被电磁装置吸附的问题,首先对拉刀结构、载荷以及曲柄滑块驱动机构运动情况进行分析。其次,基于变截面梁理论和结构优化的方法,采用非均匀有理B样条(Non-Uni...针对大型提花机承受载荷时易发生弯曲变形导致拉刀提升高度不够,使直针钩子无法被电磁装置吸附的问题,首先对拉刀结构、载荷以及曲柄滑块驱动机构运动情况进行分析。其次,基于变截面梁理论和结构优化的方法,采用非均匀有理B样条(Non-Uniform Rational B-Splines,NURBS)曲线表达拉刀侧面、截面形状,通过数值方法计算拉刀截面惯性矩函数、弯矩函数,并通过有限差分法计算拉刀变形量。通过有限元方法(Finite Element Method,FEM)、等效为等截面梁的方法对挠度计算方法进行验证,误差在10%以内。最后,以最小质量为目标,采用原-对偶不可行内点算法对拉刀结构进行优化。优化结果表明,相较于优化初值模型,拉刀质量减小约17%,最大挠度减小约2667%。展开更多
基金Sponsored by the National Natural Science Foundation of China(Grant No.51175058).
文摘A novel variable stiffness model was proposed for analyzing elastic-plastic bending problems with arbitrary variable stiffness in detail.First,it was assumed that the material of a rectangular beam is an ideal isotropic elastic-plastic material,whose elastic modulus,yield strength,and section height are functions of the axial coordinates of the beam respectively.Considering the effect of shear on the deformation of the beam,the elastic and elastic-plastic bending problems of the axially variable stiffness beam were studied.Then,the analytical solutions of the elastic and elastic-plastic deformation of the beam were derived when the cross-section height and the elastic modulus of the material were varied by special function along the length of the beam respectively.The elastic and elastic-plastic analysis of the variable stiffness beam was carried out using Differential Quadrature Method(DQM)when the bending stiffness varied arbitrarily.The influence of the axial variation of the bending stiffness on the elastic and elastic-plastic deformation of the beam was analyzed by numerical simulation,DQM,and finite element method(FEM).Simulation results verified the practicability of the proposed mechanical model,and the comparison between the results of the solutions of DQM and FEM showed that DQM is accurate and effective in elastic and elastic-plastic analysis of variable stiffness beams.
文摘针对大型提花机承受载荷时易发生弯曲变形导致拉刀提升高度不够,使直针钩子无法被电磁装置吸附的问题,首先对拉刀结构、载荷以及曲柄滑块驱动机构运动情况进行分析。其次,基于变截面梁理论和结构优化的方法,采用非均匀有理B样条(Non-Uniform Rational B-Splines,NURBS)曲线表达拉刀侧面、截面形状,通过数值方法计算拉刀截面惯性矩函数、弯矩函数,并通过有限差分法计算拉刀变形量。通过有限元方法(Finite Element Method,FEM)、等效为等截面梁的方法对挠度计算方法进行验证,误差在10%以内。最后,以最小质量为目标,采用原-对偶不可行内点算法对拉刀结构进行优化。优化结果表明,相较于优化初值模型,拉刀质量减小约17%,最大挠度减小约2667%。
