| 一种求解固体推进剂粘弹性参数的通用数值积分法 |
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| 引用本文： | 孙金云,安伟光,张永益.一种求解固体推进剂粘弹性参数的通用数值积分法[J].上海航天,2007,24(1):34-37. |
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| 作者姓名： | 孙金云 安伟光 张永益 |
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| 作者单位： | 哈尔滨工程大学,建筑工程学院,黑龙江,哈尔滨,150001 |
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| 摘 要： | 根据粘弹性理论,用拉氏逆变换推导出了由拉伸松弛模量E(t)和体积松弛模量K(t)求固体推进剂剪切松弛模量G(t)的一种积分方程式,并用迭代和数值积分法给出了求解G(t)的数值积分算法。算例表明,该法简单实用,便于用ANSYS等软件进行粘弹分析时输入参数的确定。经比较,可将此源于梯形积分公式的数值积分算法作为一种求解固体推进剂粘弹性参数的通用数值积分法。
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| 关 键 词： | 固体推进剂 粘弹性 剪切模量 拉伸模量 体积模量 数值积分 |
| 文章编号： | 1006-1630（2007）01-0034-04 |
| 修稿时间： | 2005-11-01 |
A Universal Numerical Integration Method for Solving the Viscoelastic Parameters of Solid Propellant |
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| SUN Jin-yun,AN Wei-guang,ZHANG Yong-yi.A Universal Numerical Integration Method for Solving the Viscoelastic Parameters of Solid Propellant[J].Aerospace Shanghai,2007,24(1):34-37. |
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| Authors: | SUN Jin-yun AN Wei-guang ZHANG Yong-yi |
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| Institution: | College of Civil Engineering, Harbin Engineering University, Harbin Heilongiiang 150001, China |
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| Abstract: | An integral equation expression for shear modulus was derived from stress relaxation modulus and bulk modulus of solid propellant by using inversion of Laplace transform according to the viscoelastic theory in this paper.And a numerical integration method for the shear modulus solution was presented by means of iteration and numerical integration.Numerical computation results showed that this method was simple and practicable,which was convenient for determining input parameters when doing viscoelastic analysis using ANSYS and other softwares.This integration method that was originated from trapezoidal integration could be considered as a universal numerical integration method for solving the viscoelastic parameters of solid propellant. |
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| Keywords: | Solid propellant Viscoelasticity Shear modulus Stress relaxation modulus Bulk modulus Numerical integration |
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