CAJ | 학술논문

本文给出了求解变参数两跨梁的动力学方程的半逆解法,即在已知其形式为多项式型函数的基模态及相应频率并假设其横截面积为常数的前提下,讨论了当梁材料的密度函数也为已知多项式时,如何构造同样为多项式型函数的梁材料的杨氏模量的确定表达式问题.文中给出了这一反问题的求解方法和解的存在条件,并举例说明了所给密度函数和所求得的杨氏模量的正值性问题.
본문급출료구해변삼수량과량적동역학방정적반역해법,즉재이지기형식위다항식형함수적기모태급상응빈솔병가설기횡절면적위상수적전제하,토론료당량재료적밀도함수야위이지다항식시,여하구조동양위다항식형함수적량재료적양씨모량적학정표체식문제.문중급출료저일반문제적구해방법화해적존재조건,병거례설명료소급밀도함수화소구득적양씨모량적정치성문제.
@@@@In this paper,the semi -inverse solution method is used to find the solutions to the dynamic equation of a inhomo-geneous two -span beam.Here the cross section area of the two -span beam is supposed a constant and the corresponding fre-quency is given.Even if both the fundamental mode and the density are polynomial functions and have been specified, we find the Young’s modulus in polynomial functions.Then the solution of this inverse problem and the existence condition of the solution are introduced.Finally, an example is given to discuss the problem of the positive values properties of density functions and Young’ s modulus received.