CAJ | 학술논문

水动力学与固体力学交叉的流固耦合理论是船舶与海洋工程结构响应分析与直接设计的重要工具.本文应用卷变积方法,按照广义力和广义位移之间的对应关系,将弹性动力学的基本方程卷乘上相应的虚量,然后积分,代数相加,并考虑到体积力和面积力均为伴生力,建立了非保守系统初值问题的两类变量的广义拟余能原理.应用广义拟余能原理研究流固耦合问题,分析了结构的动力响应,给出同时求解力类量和位移类量两类变量的计算方法.
수동역학여고체역학교차적류고우합이론시선박여해양공정결구향응분석여직접설계적중요공구.본문응용권변적방법,안조엄의력화엄의위이지간적대응관계,장탄성동역학적기본방정권승상상응적허량,연후적분,대수상가,병고필도체적력화면적력균위반생력,건립료비보수계통초치문제적량류변량적엄의의여능원리.응용엄의의여능원리연구류고우합문제,분석료결구적동력향응,급출동시구해력류량화위이류량량류변량적계산방법.
The fluid-solid coupling theory, an interdisciplinary science between hydrodynamics and solid mechanics, is an important tool for response analysis and direct design of structures in naval architecture and ocean engineering. By applying the corresponding relations between generalized forces and generalized displacements, convolutions were performed between the basic equations of elasto-dynamics in the primary space and corresponding virtual quantities. The results were integrated and then added algebraically. In light of the fact that body forces and surface forces are both follower forces, the generalized quasi-complementary energy principle with two kinds of variables for an initial value problem is established in non-conservative systems. Using the generalized quasi-complementary energy principle to deal with the fluid-solid coupling problem and to analyze the dynamic response of structures, a method for using two kinds of variables simultaneously for calculation of force and displacement was derived.