CAJ | 학술논문

波函数法（Wave Based Method，WBM）是近年来发展的基于间接 Trefftz 理论的结构—声辐射中频问题的一种重要方法。 WBM 函数收敛的充要条件是分析域为凸域。为提高使用 WBM 理论的应用范围和应用效率，根据多层次模型，提出了补域概念用于解决凹域问题。最后，以一个周边简支矩形薄板为例进行验证数值，计算结果表明了方法准确性和有效性。
파함수법（Wave Based Method，WBM）시근년래발전적기우간접 Trefftz 이론적결구—성복사중빈문제적일충중요방법。 WBM 함수수렴적충요조건시분석역위철역。위제고사용 WBM 이론적응용범위화응용효솔，근거다층차모형，제출료보역개념용우해결요역문제。최후，이일개주변간지구형박판위례진행험증수치，계산결과표명료방법준학성화유효성。
The Wave Based Method (WBM) is an alternative deterministic modeling technique for time har-monic dynamic problems in the mid-frequency range, which is based on an indirect Trefftz approach. How-ever, a sufficient condition for convergence of the method is the convexity of the considered problem do-main. As a result, only problems of moderate geometrical complexity can be considered. To alleviate the geometrical limitations and extend the application range of WBM, the multi-level modelling theory is dis-cussed, and the complement graph concept which is for the efficient treatment concave domain problem is put forward. Finally, the feasibility and efficiency of the method are illustrated by means of numerical veri-fication studies in which the methodology is applied to a concave plate domain dynamic problem, it extends the ability to handle with the concave domain problem.