传统结构由于缺少冗余,忽略了不确定性因素的影响,更容易受到局部刚度损失的影响,文章针对载荷不确定性下破损-安全结构的设计问题提出了一种有效的基于响应面的可靠性拓扑优化方法,以提高结构的安全性,确保结构在发生局部破损时仍能满...传统结构由于缺少冗余,忽略了不确定性因素的影响,更容易受到局部刚度损失的影响,文章针对载荷不确定性下破损-安全结构的设计问题提出了一种有效的基于响应面的可靠性拓扑优化方法,以提高结构的安全性,确保结构在发生局部破损时仍能满足服役性能及可靠性要求.为此,建立了柔度概率约束下的结构体积比最小化的双循环可靠性拓扑优化模型,其中内层循环实施可靠性分析,外层循环实施拓扑优化.为了有效处理可靠性分析中响应函数关于随机变量的导数计算高成本问题,基于响应面方法建立了响应函数关于随机变量的显式表达式.详细推导了响应函数关于设计变量和随机变量的解析灵敏度列式,并采用移动渐近线方法(method of moving asymptotes,MMA)对优化问题进行求解.将基于响应面的可靠性拓扑优化方法与基于解析导数的方法作对比,并实施蒙特卡洛仿真验证了所提方法的有效性和优越性,讨论了随机载荷标准差对优化结果的影响.结果表明,本文方法可以有效设计满足指定可靠性水平的破损-安全结构,优化后结构可靠性指标的相对误差不超过1.3%,另外基于响应面的可靠性设计方法相对于基于解析导数的可靠性设计方法可节省约74%的可靠性分析时间.展开更多
One of the most important issues in geotechnical engineering is excess pore pressure caused by clay soil loading and consolidation. Regarding uncertainties and complexities, this issue has long been the subject of att...One of the most important issues in geotechnical engineering is excess pore pressure caused by clay soil loading and consolidation. Regarding uncertainties and complexities, this issue has long been the subject of attention of many researchers. In this work, a one-dimensional consolidation apparatus was equipped in a way that pore water pressure and settlement could be continuously read and recorded during consolidation process under static loading. The end of primary consolidation was obtained using water pressure changes helping to present a new method for determining the end of primary consolidation and consolidation coefficient. This method was then compared with two classical theory methods of lg t and t. Using Terzaghi's theory, the way of pore pressure dissipation for lg t, t and the new method was found and compared with experimental results. It is concluded that the new method has better results.展开更多
文摘传统的拓扑优化设计通常基于单材料与确定性条件,往往难以兼顾结构性能的稳健性。针对实际工程中载荷不确定性问题,研究多材料结构稳健拓扑优化设计方法。基于有序各向同性微结构材料惩罚模型法(Ordered-Solid Isotropic Microstructures with Penalization,Ordered-SIMP),进行多材料插值模型表征。构建载荷概率分布条件下结构柔度均值与标准差的加权目标函数,辅以体积约束。针对载荷满足随机场分布时,采用Karhunen-Loève展开将载荷随机场变换为有限个不相关的载荷随机变量加权和,并借助稀疏网格数值积分方法,将多材料结构稳健拓扑优化转化为求解一组多工况加权多目标确定性拓扑优化设计问题。通过数值算例验证所提方法的有效性与优化结果的稳健性。结果表明:针对不同材料组合方案,均能有效获得良好的多材料拓扑构型;与确定性设计相比较,稳健设计具有不同的材料布局方案,且结构性能更加稳定。
文摘传统结构由于缺少冗余,忽略了不确定性因素的影响,更容易受到局部刚度损失的影响,文章针对载荷不确定性下破损-安全结构的设计问题提出了一种有效的基于响应面的可靠性拓扑优化方法,以提高结构的安全性,确保结构在发生局部破损时仍能满足服役性能及可靠性要求.为此,建立了柔度概率约束下的结构体积比最小化的双循环可靠性拓扑优化模型,其中内层循环实施可靠性分析,外层循环实施拓扑优化.为了有效处理可靠性分析中响应函数关于随机变量的导数计算高成本问题,基于响应面方法建立了响应函数关于随机变量的显式表达式.详细推导了响应函数关于设计变量和随机变量的解析灵敏度列式,并采用移动渐近线方法(method of moving asymptotes,MMA)对优化问题进行求解.将基于响应面的可靠性拓扑优化方法与基于解析导数的方法作对比,并实施蒙特卡洛仿真验证了所提方法的有效性和优越性,讨论了随机载荷标准差对优化结果的影响.结果表明,本文方法可以有效设计满足指定可靠性水平的破损-安全结构,优化后结构可靠性指标的相对误差不超过1.3%,另外基于响应面的可靠性设计方法相对于基于解析导数的可靠性设计方法可节省约74%的可靠性分析时间.
文摘One of the most important issues in geotechnical engineering is excess pore pressure caused by clay soil loading and consolidation. Regarding uncertainties and complexities, this issue has long been the subject of attention of many researchers. In this work, a one-dimensional consolidation apparatus was equipped in a way that pore water pressure and settlement could be continuously read and recorded during consolidation process under static loading. The end of primary consolidation was obtained using water pressure changes helping to present a new method for determining the end of primary consolidation and consolidation coefficient. This method was then compared with two classical theory methods of lg t and t. Using Terzaghi's theory, the way of pore pressure dissipation for lg t, t and the new method was found and compared with experimental results. It is concluded that the new method has better results.
