考虑温度效应的多层粘弹性矩形板的动力响应

发布时间：2017-12-31 03:15

本文关键词：考虑温度效应的多层粘弹性矩形板的动力响应　出处：《固体火箭技术》2016年04期 　论文类型：期刊论文

【摘要】：根据热粘弹性本构模型及时-温等效原理,结合Kirchhoff薄板理论,推导了考虑温度效应的多层粘弹性板的板的运动微分方程。采用级数分解和Laplace积分变换相结合的方法,给出了圆形均布动载荷及温度载荷联合作用下多层板的挠度解析表达式。采用具有较高精度的BURBIN F方法求解Laplace积分逆变换,在MATLAB软件中编写计算程序,以2层薄板为例分析了初始温度、表面变温速率对板动力响应的影响。结果表明,初始温度越高,板的挠度越大,随着时间的增长,横向位移有所增加;变温速率越大,挠度变化幅度越大;相同幅度的变温速率下,升温对挠度的影响大于降温。
[Abstract]:According to the time-temperature equivalent principle of thermal viscoelastic constitutive model, Kirchhoff thin plate theory is combined. The differential equation of motion of a multilayer viscoelastic plate considering temperature effect is derived. The method of combining series decomposition with Laplace integral transformation is adopted. The analytical expressions of deflection of multilayer plates under the combined action of circular uniform dynamic load and temperature load are given, and the inverse Laplace integral transformation is solved by using the BURBIN F method with high accuracy. The influence of initial temperature and surface temperature change rate on the dynamic response of the plate is analyzed by using a calculation program written in MATLAB software. The results show that the higher the initial temperature, the greater the deflection of the plate. With the increase of time, the lateral displacement increases. The bigger the temperature change rate is, the bigger the deflection is. The effect of temperature on deflection is greater than that of cooling at the same temperature change rate.
【作者单位】：南京理工大学机械工程学院;第二炮兵装备研究院;
【基金】：装备预先研究项目(51328020106)
【分类号】：V214.8
【正文快照】： 0引言新型复合材料板由于具有密度低、力学性能好等优点,近年来被广泛用于航空航天领域,而这些材料一般都表现出一定的蠕变和应力松弛特性,其力学行为与粘弹性材料相近。因此,国内外学者采用粘弹性理论,对这类板的动态特性进行了较多研究。国内方面,祝彦知等[1]分析了粘弹性地

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