小变形下弹性织物压力分布的建模与计算  

Modeling and Calculation of Pressure Distribution of Elastic Fabric under Small Deformation

作　　者：蒋建益[1] 徐定华[1] 杨予[2] 

机构地区：[1]浙江理工大学理学院,杭州310018 [2]浙江理工大学建筑工程学院,杭州310018

出　　处：《浙江理工大学学报（自然科学版）》2013年第5期677-684,共8页Journal of Zhejiang Sci-Tech University(Natural Sciences)

基　　金：国家自然科学基金(11071201)

摘　　要：依据弹性力学中的小变形理论,建立了人体-弹性织物系统的静态力学模型。利用有限差分方法求解椭圆型偏微分方程组边界值问题,利用正则化伴随共轭梯度法求解线性代数方程组,获得人体与织物接触处的压力分布。数值模拟实例验证了模型的正确性,数值结果表明在相同约束条件下,人体受到的压力随织物位移的增大而增大。This paper establishes static mechanical model of human body-elastic fabric system according to small deformation theory in elastic mechanics＇ solves the problem of boundary value of the system of elliptical partial differential equations with finite difference method＇ solves the system of linear algebraic equations with regularized conjugate gradient method and obtains the pressure distribution at the contact point of human body and fabric. The example of numerical simulation verifies the correctness of the model. The numerical value result shows that the pressure received by human body increases with the increase of fabric displacement under the same constraint condition.

关 键 词：弹性织物 小变形 压力舒适性 有限差分法 正则化伴随共轭梯度法 压力分布 胡克定律 

分 类 号：TS101.1[轻工技术与工程—纺织工程]