摘要：在现代生活中，许多建筑结构物避免不了爆炸载荷的冲击，提高结构物的抗冲击性能，不仅能够保证保证人们的生命财产安全，也能够提高军事装备的性能，是现阶段结构优化的重要任务。本文综述了中外学者对于爆炸问题，以及各类夹层板的在冲击载荷下的响应和结构优化问题的研究现状。在这些研究的基础上，介绍本文所应用的基本理论以及结构优化设计中所用到的方法，然后采用有限元商用软件LS-DYNA对不同尺寸的波纹夹层板进行建模，采用不同当量炸药产生冲击波，计算不同尺寸波纹夹层板的动态响应。通过比较几组夹层板的响应参数，如位移，芯层厚度变化量等，确定哪种尺寸的夹层板性能更优越，进而达到波纹夹层板的抗冲击载荷优化设计的目的。

关键词：波纹夹层板；冲击载荷；LS-DYNA；结构优化

Abstract：In modern life, many buildings can not avoid the impact of explosive load. Improving the shock resistance performance of structures can not only ensure that people's  lives and property are safe, but also improve the performance of military equipment. It has been the important task of structural optimization at this stage. The paper reviews the current research situation about the explosion problem of Chinese and foreign  scholars. It introduces the response and structural optimization of various sandwich plates subject to impact loading. On the basis of these studies, the paper introduces the methods of basic theory and the application of structure optimization used in the design. And then using the finite element software LS-DYNA to simulate the explosive shock waves generated by different equivalent dynamites and study the dynamic response of corrugated sandwich plates with different sizes .In order to achieve the goal of optimal design of shock resistance performance about corrugated sandwich plates. We will compare the response parameters of several groups of sandwich plates, such as displacement, the change of the thickness of the core layer to determine the performance of the sandwich plate with better size.

Keywords: corrugated sandwich plate; impact load; LS-DYNA; structural optimization

目 录

第一章绪论 1

1.1研究的背景和意义 1

1.2国内外研究现状 2

1.2.1夹层板冲击问题的理论和实验研究 2

1.2.2夹层板冲击问题的数值模拟研究 2

1.3本文主要的研究内容 5

第二章空中爆炸理论和数值仿真方法 6

2.1引言 6

2.2爆炸冲击波 6

2.2.1爆炸冲击波的形成 6

2.2.2冲击波基本关系式 6

2.3LS-DYNA简介 9

2.4有限元软件模拟空中爆炸 10

2.5有限元软件的接触定义及算法 11

2.5.1接触一碰撞界面算法 11

2.5.2流固耦合数值算法 12

2.6本章小结 15

第三章空中爆炸夹层板模型建立 16

3.1引言 16

3.2冲击模型简化 16

3.2.1计算模型的建立 16

3.2.2材料模型参数