推进技术 ›› 1996, Vol. 17 ›› Issue (2): 38-42.

• • 上一篇    下一篇

固体火箭发动机冲击响应分析中改进的Wilson-θ法

余旭东,胡德斌,马彩霞   

  1. 西北工业大学航天工程学院;西北工业大学航天工程学院;西北工业大学航天工程学院
  • 发布日期:2021-08-15

MODIFIED WILSON-θ METHOD FOR SHOCK RESPONSE ANALYSIS OF SOLID ROCKET MOTORS

  1. Coll of Astronautics, North-western Polytechnical Univ., Xi’an, 710072;Coll of Astronautics, North-western Polytechnical Univ., Xi’an, 710072;Coll of Astronautics, North-western Polytechnical Univ., Xi’an, 710072
  • Published:2021-08-15

摘要: 在Wilson-θ法基础上引入参数γ,提出了修正的振动平衡方程和初始条件表达式。研究了新方法的稳定性和γ系数的取值范围,并以某些导弹的发动机壳体为算例和实验对象,验证了新方法的正确性和在抑制超调现象方面的有效性。

关键词: 固体推进剂火箭发动机;火箭发动机壳体;冲击载荷;冲击响应

Abstract: The paper introduces paramenter γ in differential equations on the basis Of Wilson-θmethod in order to adjust the displacement terms and initial conditions. The paper presents modifiedexpressions of dynamic equations and initial conditions, and derives the direct approximation operatormatrix of the modified integration Wilson-θ method. By calculating the spectral decorpposition of theapproximation operator matrix, the paper has analyzed the stability of the modified method and hasshown that the method can obtain unconditional stability. This paper has discussed choose extent ofthe coefficient γ. The modified method has been verified in examples and experiments.

Key words: Solid propellant rocket engine;Rocket engine case;Shock load;Shock response