CAJ | 학술논문

基于近似惯性流形理论提出一种用于高温环境下的二维壁板热气动弹性响应分析的降阶方法。其主要思想是将壁板振动方程的解分解为高低阶模态之和，并利用近似惯性流形理论建立高低阶模态之间的耦合关系，用低阶模态来表示高阶模态的影响。通过与传统的伽辽金法比较，结果表明所提方法可以在不明显损失解的精度的前提下降低系统的自由度，提高计算效率。
기우근사관성류형이론제출일충용우고온배경하적이유벽판열기동탄성향응분석적강계방법。기주요사상시장벽판진동방정적해분해위고저계모태지화，병이용근사관성류형이론건립고저계모태지간적우합관계，용저계모태래표시고계모태적영향。통과여전통적가료금법비교，결과표명소제방법가이재불명현손실해적정도적전제하강저계통적자유도，제고계산효솔。
A method of reduced order modeling for thermo-aero-elastic response analysis of a nonlinear panel in supersonic flow was presented based on approximate inertial manifolds.Its main idea was that the solution to the panel vibration equation was set as the sum of two groups including lower modes and higher ones.The coupled relations between higher modes and lower ones were established with the theory of the approximate inertial manifolds,lower modes were used to express the effects of higher ones.Compared with the traditional Galerkin method,it was shown that the presented method can reduce DOFs of the system and improve computation efficiency without significant loss of the accuracy of the solution.