摘要
用粘弹性有限元法计算药柱应力需要给出推进剂的松弛模量和蠕变柔量的Ｐｒｏｎｇ级数表达式。利周应力松弛模量的Ｐｒｏｎｇ级数形式，通过最小二乘法对由试验求得的应力松弛模量—时间曲线进行拟合，求出松弛模量的Ｐｒｏｎｇ级数中的系数和指数。再利用蠕变柔量与松弛模量的关系式，求得蠕变柔量的Ｐｒｏｎｇ级数中的系数和指数，以此计算药柱的应力。
he prony's series of relaxation modulus and creep compliance are used for computing stresses in the propellant grain with viscoelastic finite-element method. The coefficients and exponents in the Prony's series of the relaxation modulus are evaluated by fitting the relaxation modulus-time curve, with least square method from the results obtained during the stress relaxation test. The coefficients and exponents in the Prony' S series of the creep compliance are determined by useing the relationship between the relaxation modulus and creep compliance. Then the stresses of the grain can be calculated.
出处
《固体火箭技术》
EI
CAS
CSCD
1995年第3期73-78,共6页
Journal of Solid Rocket Technology
关键词
固体推进剂
应力松弛
蠕变
曲线拟合
最小二乘法
Solid propellant Stress relaxation Creep compliance Curve fitting Least square method
