A Hybrid Finite Element-Fourier Spectral Method for Vibration Analysis of Structures with Elastic Boundary Conditions

المؤلفون المشاركون

Li, Wan-You
Lv, Binglin
Ouyang, Huajiang
Du, Jingtao
Zhou, Haijun
Wang, Donghua

المصدر

Mathematical Problems in Engineering

العدد

المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-11، 11ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2014-09-25

دولة النشر

مصر

عدد الصفحات

11

التخصصات الرئيسية

هندسة مدنية

الملخص EN

A novel hybrid method, which simultaneously possesses the efficiency of Fourier spectral method (FSM) and the applicability of the finite element method (FEM), is presented for the vibration analysis of structures with elastic boundary conditions.

The FSM, as one type of analytical approaches with excellent convergence and accuracy, is mainly limited to problems with relatively regular geometry.

The purpose of the current study is to extend the FSM to problems with irregular geometry via the FEM and attempt to take full advantage of the FSM and the conventional FEM for structural vibration problems.

The computational domain of general shape is divided into several subdomains firstly, some of which are represented by the FSM while the rest by the FEM.

Then, fictitious springs are introduced for connecting these subdomains.

Sufficient details are given to describe the development of such a hybrid method.

Numerical examples of a one-dimensional Euler-Bernoulli beam and a two-dimensional rectangular plate show that the present method has good accuracy and efficiency.

Further, one irregular-shaped plate which consists of one rectangular plate and one semi-circular plate also demonstrates the capability of the present method applied to irregular structures.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Li, Wan-You& Lv, Binglin& Ouyang, Huajiang& Du, Jingtao& Zhou, Haijun& Wang, Donghua. 2014. A Hybrid Finite Element-Fourier Spectral Method for Vibration Analysis of Structures with Elastic Boundary Conditions. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1046500

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Li, Wan-You…[et al.]. A Hybrid Finite Element-Fourier Spectral Method for Vibration Analysis of Structures with Elastic Boundary Conditions. Mathematical Problems in Engineering No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1046500

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Li, Wan-You& Lv, Binglin& Ouyang, Huajiang& Du, Jingtao& Zhou, Haijun& Wang, Donghua. A Hybrid Finite Element-Fourier Spectral Method for Vibration Analysis of Structures with Elastic Boundary Conditions. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1046500

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1046500