A Meshless Radial Basis Function Based on Partition of Unity Method for Piezoelectric Structures

المؤلفون المشاركون

Li, Sen
Yi, Shichao
Wang, Wei
Yao, Lin-Quan

المصدر

Mathematical Problems in Engineering

العدد

المجلد 2016، العدد 2016 (31 ديسمبر/كانون الأول 2016)، ص ص. 1-17، 17ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2016-12-12

دولة النشر

مصر

عدد الصفحات

17

التخصصات الرئيسية

هندسة مدنية

الملخص EN

A meshless radial basis function based on partition of unity method (RBF-PUM) is proposed to analyse static problems of piezoelectric structures.

The methods of radial basis functions (RBFs) possess some merits: the shape functions have high order continuity; h-adaptivity is simpler than mesh-based methods; the shape functions are easily implemented in high dimensional space.

The partition of unity method (PUM) easily constructs local approximation.

The character of local approximate space can be varied and regarded as p-adaptivity.

Considering the good properties of the two methods, the RBFs are used for local approximation and the local supported weight functions are used in the partition of unity method.

The system equations of the RBF-PUM are derived using the variational principle.

The field variables are approximated using the RBF-PUM shape functions which inherit all the advantages of the RBF shape functions such as the delta function property.

The boundary conditions can be implemented easily.

Numerical examples of piezoelectric structures are investigated to illustrate the efficiency of the proposed method and the obtained results are compared with analytical solutions and available numerical solutions.

The behaviors of some parameters that probably influenced numerical results are also studied in detail.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Li, Sen& Yao, Lin-Quan& Yi, Shichao& Wang, Wei. 2016. A Meshless Radial Basis Function Based on Partition of Unity Method for Piezoelectric Structures. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-17.
https://search.emarefa.net/detail/BIM-1112595

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Li, Sen…[et al.]. A Meshless Radial Basis Function Based on Partition of Unity Method for Piezoelectric Structures. Mathematical Problems in Engineering No. 2016 (2016), pp.1-17.
https://search.emarefa.net/detail/BIM-1112595

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Li, Sen& Yao, Lin-Quan& Yi, Shichao& Wang, Wei. A Meshless Radial Basis Function Based on Partition of Unity Method for Piezoelectric Structures. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-17.
https://search.emarefa.net/detail/BIM-1112595

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1112595