长春理工大学学报（自然科学版）
長春理工大學學報（自然科學版）
장춘리공대학학보（자연과학판）
JOURNAL OF CHANGCHUN UNIVERSITY OF SCIENCE AND TECHNOLOGY(NATURAL SCIENCE EDITION)
2014年
6期
142-146
,共5页
复模态参数%二阶泰勒展开%灵敏度系数%对称系统
複模態參數%二階泰勒展開%靈敏度繫數%對稱繫統
복모태삼수%이계태륵전개%령민도계수%대칭계통
complex mode parameters%second order taylor expansion%sensitivity coefficient%symmetry system
基于相容性条件方程理论，提出了关于对称系统复频率的二阶导数求解算法及复模态的二阶导数求解算法，利用多元向量值函数的泰勒展开式理论，给出对称系统复模态向量的二阶泰勒展开式算法，为复模态向量在工程结构优化及模型修正等领域的应用提供新的算法基础。数值算例说明本文算法的有效性和正确性。
基于相容性條件方程理論，提齣瞭關于對稱繫統複頻率的二階導數求解算法及複模態的二階導數求解算法，利用多元嚮量值函數的泰勒展開式理論，給齣對稱繫統複模態嚮量的二階泰勒展開式算法，為複模態嚮量在工程結構優化及模型脩正等領域的應用提供新的算法基礎。數值算例說明本文算法的有效性和正確性。
기우상용성조건방정이론，제출료관우대칭계통복빈솔적이계도수구해산법급복모태적이계도수구해산법，이용다원향량치함수적태륵전개식이론，급출대칭계통복모태향량적이계태륵전개식산법，위복모태향량재공정결구우화급모형수정등영역적응용제공신적산법기출。수치산례설명본문산법적유효성화정학성。
In this article, we presented the second derivative algorithm for the symmetry system of complex frequency and the complex mode based on the theory of the compatible equation. The Taylor expansion with the vector-valued function of several variables was used to found the Taylor expansion approximation method of the complex mode’s vec-tor of the symmetry system. This result gives a new algorithm foundation by means of the theory of the compatible equation,and that it has some potential application for optimizing the engineering structure and revising the model. The example indicates that this algorithm is effective and correct.
