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牛顿法拟合动脉瓣的应力松弛函数

Fitting Stress Relaxation Function of Arterial Valve by Means of Newtons Method

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【作者】 李章政于建华陈君楷

【Author】 Li Zhangzheng Yu Jianhua Cheng Junkai (Dept. of Civil Engineering & Applied Mechanics Sichuan Union University,Chengdu 610065)

【机构】 四川联合大学土木工程及应用力学系

【摘要】 依据实验数据,用最小二乘法拟合了人主动脉瓣的粘弹性性能参量——归一化应力松弛函数.这是一个非线性规划问题.在假定数学模型的条件下,我们推导了牛顿法的全部公式,并在计算机上进行迭代,获得了良好了的结果.最终的应力松弛量大约为20%

【Abstract】 Abstract This paper has determined the viscoelastic parameter normalized stress relaxation function, of human aortic valve on the basis of experimental data by using least square method. This is a nonlinear problem. We have derived the whole formulae for Newtons method from the given mathematical model of the material, and computed by personal computer. So the satisfactory results have been obtained. The relaxation curve and function show that the final stress in the material decreases by about 20 percent as compared with the initial stress.

【关键词】 最小二乘法牛顿法粘弹性应力松弛
  • 【文献出处】 工程数学学报 ,CHINESE JOURNAL OF ENGINEERING MATHEMATICS , 编辑部邮箱 ,1998年01期
  • 【分类号】O221.2
  • 【下载频次】47
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