CAJ | 학술논문

本文通过采用移动最小二乘函数作为近似函数和完全拉格朗日方程作为近似方程来改善光滑粒子法的稳定性和数值精度;在此基础上,提出了壳结构静力分析的光滑粒子法,并完善了壳结构动力分析方法;最后,采用国际公认的壳结构的标准测试模型对静力和动力问题分别进行了验证,所得结果与已有数据吻合良好,证明了本文数值模型的有效性和可靠性,为光滑粒子法进一步在裂纹、破碎等非线性壳结构中的应用提供参考.
본문통과채용이동최소이승함수작위근사함수화완전랍격랑일방정작위근사방정래개선광활입자법적은정성화수치정도;재차기출상,제출료각결구정력분석적광활입자법,병완선료각결구동력분석방법;최후,채용국제공인적각결구적표준측시모형대정력화동력문제분별진행료험증,소득결과여이유수거문합량호,증명료본문수치모형적유효성화가고성,위광활입자법진일보재렬문、파쇄등비선성각결구중적응용제공삼고.
@@@@Meshfree smoothed particle method has great advantages in dealing with nonlinear problems of solid structures However, due to the instability and poor accuracy, it has been limited to the application in solid mechanics for a long time;especially the study on shell structure with smoothed particle method is even rarely reported on account of expensive three-dimensional continuum modeling and the phenomenon of numerical fracture in the traditional method The moving least square function and total Lagrangian equations are introduced as an approximation function and approximation equations respectively to improve the stability and numerical accuracy of smoothed particle method; on this basis, the method of static analysis is proposed, and meanwhile the dynamic analysis method is also refined. Finally, the internationally recognized standard test models on static and dynamic problems are adopted to verify the above shell theory, and the results are in good agreement with the existing data, which proves the validity and reliability of the present numerical model. This paper aims to provide a reference for the further research of smoothed particle method on nonlinear shell structures, such as crack, crushing, etc.