常州工学院学报
常州工學院學報
상주공학원학보
Journal of Changzhou Institute of Technology
2015年
5期
6-10
,共5页
约束梁%振型%低速冲击%动力响应
約束樑%振型%低速遲擊%動力響應
약속량%진형%저속충격%동력향응
restrained beams%mode shape%low velocity impact%dynamic response
研究了特定约束条件下梁受低速冲击的动力响应,建立了具有动边界梁的力学模型. 运用一种新的求解振型的方法表示不同边界约束下梁的位移,并根据冲击局部区域的、准静态的接触理论,利用拉格朗日方程建立了低速冲击下动边界梁的动力方程. 研究表明:这种新的表达振型的方法求得的结果与传统方法求得的振型一致;低速冲击条件下,竖向弹性约束对结构位移和撞击力都有显著影响.
研究瞭特定約束條件下樑受低速遲擊的動力響應,建立瞭具有動邊界樑的力學模型. 運用一種新的求解振型的方法錶示不同邊界約束下樑的位移,併根據遲擊跼部區域的、準靜態的接觸理論,利用拉格朗日方程建立瞭低速遲擊下動邊界樑的動力方程. 研究錶明:這種新的錶達振型的方法求得的結果與傳統方法求得的振型一緻;低速遲擊條件下,豎嚮彈性約束對結構位移和撞擊力都有顯著影響.
연구료특정약속조건하량수저속충격적동력향응,건립료구유동변계량적역학모형. 운용일충신적구해진형적방법표시불동변계약속하량적위이,병근거충격국부구역적、준정태적접촉이론,이용랍격랑일방정건립료저속충격하동변계량적동력방정. 연구표명:저충신적표체진형적방법구득적결과여전통방법구득적진형일치;저속충격조건하,수향탄성약속대결구위이화당격력도유현저영향.
The dynamic responses of beams with specific constrained condition under low velocity im-pact is analyzed.The mechanical models of beams with flexible boundary constrains are established in this paper.A new method for solving the mode shapes is applied to express the displacement of beams under dif-ferent boundary constrains.Based on formulae for the relationship between contact force and embedding depth,the dynamic equations of beams with flexible boundary constrains under low velocity impact are pro-posed by using Lagrange method.The results indicate that the mode shapes that are solved by the new func-tion are the same as the traditional ones.Vertical elastic constrains have notable influence on displacement and impact forces under low velocity impact.