为获得高速动车齿轮箱最优结构设计方案,针对目前国产高速动车牵引齿轮箱箱体特点及存在的问题,基于SIMP(solid isotropic material with penalization)材料插值模型及应变能理论,利用软件HyperMesh中的拓扑优化与形状优化模块对动车齿...为获得高速动车齿轮箱最优结构设计方案,针对目前国产高速动车牵引齿轮箱箱体特点及存在的问题,基于SIMP(solid isotropic material with penalization)材料插值模型及应变能理论,利用软件HyperMesh中的拓扑优化与形状优化模块对动车齿轮箱箱体结构进行拓扑优化和局部形状优化。优化结果表明:优化后的动车齿轮箱结构的最大变形和最大应力有大幅度降低,能有效提高齿轮箱箱体的刚度和强度。文中结果可为设计性能优异的国产化高速动车齿轮箱提供数据支持。展开更多
为得到清晰的0-1拓扑分布结构,在SIMP(solid isotropic microstructures withpenalization)和SRV(the sum of the reciprocal variables)方法的基础上提出了一种新的混合方法——SIMP-SRV方法,该方法将SIMP得到的优化结果用来初始化SRV...为得到清晰的0-1拓扑分布结构,在SIMP(solid isotropic microstructures withpenalization)和SRV(the sum of the reciprocal variables)方法的基础上提出了一种新的混合方法——SIMP-SRV方法,该方法将SIMP得到的优化结果用来初始化SRV方法的设计变量,再用SRV方法得到最终的优化目标。将SIMP-SRV方法应用于柔性机构的0-1拓扑优化设计中,得到了轮廓清晰的拓扑分布结构,完全消除了中间密度单元,从而证明了该方法的有效性。展开更多
将拼焊板技术应用于汽车轻量化设计,提出了基于拓扑优化的拼焊板轻量化设计方法。通过SIMP(solid isotropic material with penalization)法拓扑优化确定分块数目以及焊缝线位置。再以板件厚度作为设计变量,利用序列二次规划法进行多目...将拼焊板技术应用于汽车轻量化设计,提出了基于拓扑优化的拼焊板轻量化设计方法。通过SIMP(solid isotropic material with penalization)法拓扑优化确定分块数目以及焊缝线位置。再以板件厚度作为设计变量,利用序列二次规划法进行多目标优化。运用该方法对某SUV车型后背门进行了轻量化设计,在保证拼焊板后背门各种刚度和模态性能指标的前提下,达到了轻量化的效果。具有工程实际意义。展开更多
基于平面三自由度全柔顺并联机构与传统并联机构的微分运动学矢量连续映射关系,建立整体式平面三自由度全柔顺并联机构构型拓扑优化模型-固体各向同性材料插值(Solid isotropic material with penalization,SIMP)模型,运用优化准则(Opti...基于平面三自由度全柔顺并联机构与传统并联机构的微分运动学矢量连续映射关系,建立整体式平面三自由度全柔顺并联机构构型拓扑优化模型-固体各向同性材料插值(Solid isotropic material with penalization,SIMP)模型,运用优化准则(Optimization criterion,OC)算法对所建立模型求解,采用Heaviside过滤技术处理优化过程中棋盘格和网格依赖问题。基于曲线拟合方法对优化后整体构型轮廓进行拟合,在Solid Works软件中建立其三维模型,进而应用有限元软件进行静力学仿真分析与对比,结果表明:以微分运动学矢量连续映射关系为拓扑优化设计条件,所得出的平面三自由度全柔顺并联机构与传统并联机构具有相同的微分运动特性,定性验证了基于拓扑方法对平面全柔顺并联机构设计的有效性。展开更多
The aim of this work is to employ a modified cell-based smoothed finite element method(S-FEM)for topology optimization with the domain discretized with arbitrary polygons.In the present work,the linear polynomial basi...The aim of this work is to employ a modified cell-based smoothed finite element method(S-FEM)for topology optimization with the domain discretized with arbitrary polygons.In the present work,the linear polynomial basis function is used as the weight function instead of the constant weight function used in the standard S-FEM.This improves the accuracy and yields an optimal convergence rate.The gradients are smoothed over each smoothing domain,then used to compute the stiffness matrix.Within the proposed scheme,an optimum topology procedure is conducted over the smoothing domains.Structural materials are distributed over each smoothing domain and the filtering scheme relies on the smoothing domain.Numerical tests are carried out to pursue the performance of the proposed optimization by comparing convergence,efficiency and accuracy.展开更多
A topology optimization method based on the solid isotropic material with penalization interpolation scheme is utilized for designing gradient coils for use in magnetic resonance microscopy.Unlike the popular stream f...A topology optimization method based on the solid isotropic material with penalization interpolation scheme is utilized for designing gradient coils for use in magnetic resonance microscopy.Unlike the popular stream function method,the proposed method has design variables that are the distribution of conductive material.A voltage-driven transverse gradient coil is proposed to be used as micro-scale magnetic resonance imaging(MRI)gradient coils,thus avoiding introducing a coil-winding pattern and simplifying the coil configuration.The proposed method avoids post-processing errors that occur when the continuous current density is approximated by discrete wires in the stream function approach.The feasibility and accuracy of the method are verified through designing the z-gradient and y-gradient coils on a cylindrical surface.Numerical design results show that the proposed method can provide a new coil layout in a compact design space.展开更多
This paper proposes a novel method for the continuum topology optimization of transient vibration problem with maximum dynamic response constraint.An aggregated index in the form of an integral function is presented t...This paper proposes a novel method for the continuum topology optimization of transient vibration problem with maximum dynamic response constraint.An aggregated index in the form of an integral function is presented to cope with the maximum response constraint in the time domain.The density filter solid isotropic material with penalization method combined with threshold projection is developed.The sensitivities of the proposed index with respect to design variables are conducted.To reduce computational cost,the second-order Amoldi reduction(SOAR)scheme is employed in transient analysis.Influences of aggregate parameter,duration of loading period,interval time,and number of basis vectors in the SOAR scheme on the final designs are discussed through typical examples while unambiguous configuration can be achieved.Through comparison with the corresponding static response from the final designs,the optimized results clearly demonstrate that the transient effects cannot be ignored in structural topology optimization.展开更多
文摘为获得高速动车齿轮箱最优结构设计方案,针对目前国产高速动车牵引齿轮箱箱体特点及存在的问题,基于SIMP(solid isotropic material with penalization)材料插值模型及应变能理论,利用软件HyperMesh中的拓扑优化与形状优化模块对动车齿轮箱箱体结构进行拓扑优化和局部形状优化。优化结果表明:优化后的动车齿轮箱结构的最大变形和最大应力有大幅度降低,能有效提高齿轮箱箱体的刚度和强度。文中结果可为设计性能优异的国产化高速动车齿轮箱提供数据支持。
文摘为得到清晰的0-1拓扑分布结构,在SIMP(solid isotropic microstructures withpenalization)和SRV(the sum of the reciprocal variables)方法的基础上提出了一种新的混合方法——SIMP-SRV方法,该方法将SIMP得到的优化结果用来初始化SRV方法的设计变量,再用SRV方法得到最终的优化目标。将SIMP-SRV方法应用于柔性机构的0-1拓扑优化设计中,得到了轮廓清晰的拓扑分布结构,完全消除了中间密度单元,从而证明了该方法的有效性。
文摘将拼焊板技术应用于汽车轻量化设计,提出了基于拓扑优化的拼焊板轻量化设计方法。通过SIMP(solid isotropic material with penalization)法拓扑优化确定分块数目以及焊缝线位置。再以板件厚度作为设计变量,利用序列二次规划法进行多目标优化。运用该方法对某SUV车型后背门进行了轻量化设计,在保证拼焊板后背门各种刚度和模态性能指标的前提下,达到了轻量化的效果。具有工程实际意义。
文摘基于平面三自由度全柔顺并联机构与传统并联机构的微分运动学矢量连续映射关系,建立整体式平面三自由度全柔顺并联机构构型拓扑优化模型-固体各向同性材料插值(Solid isotropic material with penalization,SIMP)模型,运用优化准则(Optimization criterion,OC)算法对所建立模型求解,采用Heaviside过滤技术处理优化过程中棋盘格和网格依赖问题。基于曲线拟合方法对优化后整体构型轮廓进行拟合,在Solid Works软件中建立其三维模型,进而应用有限元软件进行静力学仿真分析与对比,结果表明:以微分运动学矢量连续映射关系为拓扑优化设计条件,所得出的平面三自由度全柔顺并联机构与传统并联机构具有相同的微分运动特性,定性验证了基于拓扑方法对平面全柔顺并联机构设计的有效性。
基金support by Basic Science Research Program through the National Research Foundation(NRF)funded by Korea Ministry of Education(No.2016R1A6A1A0312812).
文摘The aim of this work is to employ a modified cell-based smoothed finite element method(S-FEM)for topology optimization with the domain discretized with arbitrary polygons.In the present work,the linear polynomial basis function is used as the weight function instead of the constant weight function used in the standard S-FEM.This improves the accuracy and yields an optimal convergence rate.The gradients are smoothed over each smoothing domain,then used to compute the stiffness matrix.Within the proposed scheme,an optimum topology procedure is conducted over the smoothing domains.Structural materials are distributed over each smoothing domain and the filtering scheme relies on the smoothing domain.Numerical tests are carried out to pursue the performance of the proposed optimization by comparing convergence,efficiency and accuracy.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.51675506 and 51275504)the German Research Foundation(DFG)(Grant Nos.#ZA 422/5-1 and#ZA 422/6-1)
文摘A topology optimization method based on the solid isotropic material with penalization interpolation scheme is utilized for designing gradient coils for use in magnetic resonance microscopy.Unlike the popular stream function method,the proposed method has design variables that are the distribution of conductive material.A voltage-driven transverse gradient coil is proposed to be used as micro-scale magnetic resonance imaging(MRI)gradient coils,thus avoiding introducing a coil-winding pattern and simplifying the coil configuration.The proposed method avoids post-processing errors that occur when the continuous current density is approximated by discrete wires in the stream function approach.The feasibility and accuracy of the method are verified through designing the z-gradient and y-gradient coils on a cylindrical surface.Numerical design results show that the proposed method can provide a new coil layout in a compact design space.
基金The authors acknowledge the financial support from the National Natural Science Foundation of China(Grant No.11902232).
文摘This paper proposes a novel method for the continuum topology optimization of transient vibration problem with maximum dynamic response constraint.An aggregated index in the form of an integral function is presented to cope with the maximum response constraint in the time domain.The density filter solid isotropic material with penalization method combined with threshold projection is developed.The sensitivities of the proposed index with respect to design variables are conducted.To reduce computational cost,the second-order Amoldi reduction(SOAR)scheme is employed in transient analysis.Influences of aggregate parameter,duration of loading period,interval time,and number of basis vectors in the SOAR scheme on the final designs are discussed through typical examples while unambiguous configuration can be achieved.Through comparison with the corresponding static response from the final designs,the optimized results clearly demonstrate that the transient effects cannot be ignored in structural topology optimization.
