Improvement of Numerical Manifold Method using Nine-node Quadrilateral and Ten-node Triangular Elements along with Complex Fourier RBFs in Modeling Free and Forced Vibrations
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
View: 182
This Paper With 15 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_JACM-7-4_017
تاریخ نمایه سازی: 18 مهر 1400
Abstract:
In this paper, the numerical manifold method (NMM) with a ۹-node quadrilateral element and a ۱۰-node triangular element is developed. Furthermore, complex Fourier shape functions are used to improve the ۹-node quadrilateral NMM. Also, the two approaches of higher-order NMM construction are compared, increasing the order of weight functions or local approximation ones; for this purpose, six-node triangular and three-node triangular using second-order and third-order NMM is used. For validation of the suggested method, one free vibration and two forced vibration numerical examples are assessed. The results show that the proposed methods are more accurate than conventional NMM. In addition, the superiority of complex Fourier shape functions compared to classical Lagrange ones in improving accuracy is perceived.
Keywords:
Numerical manifold method , Nine-node complex Fourier shape functions , Complex Fourier radial basis functions , Free vibrations , Forced vibrations , Ten-node shape functions
Authors
Mohammad Malekzadeh
Civil Engineering Department, Shahid Bahonar University of Kerman, Pajoohesh Square, Kerman, P. O. Box ۷۶۱۶۹-۱۳۳, Iran
Saleh Hamzehei-Javaran
Civil Engineering Department, Shahid Bahonar University of Kerman, Pajoohesh Square, Kerman, P. O. Box ۷۶۱۶۹-۱۳۳, Iran
Saeed Shojaee
Civil Engineering Department, Shahid Bahonar University of Kerman, Pajoohesh Square, Kerman, P. O. Box ۷۶۱۶۹-۱۳۳, Iran
مراجع و منابع این Paper:
لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :