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| Acoustic shape sensitivity analysis using isogeometric BEM |
| Received:June 30, 2017 Revised:August 05, 2017 |
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| DOI：10.7511/jslx20170630001 |
| KeyWord:isogeometric analysis NURBS boundary element method sensitivity analysis direct differentiation method |
| Author | Institution |
| 刘程 |
中国科学技术大学 近代力学系 中国科学院材料力学行为和设计重点实验室, 合肥 |
| 赵文畅 |
中国科学技术大学 近代力学系 中国科学院材料力学行为和设计重点实验室, 合肥 |
| 陈磊磊 |
信阳师范学院 土木工程学院, 信阳 |
| 陈海波 |
中国科学技术大学 近代力学系 中国科学院材料力学行为和设计重点实验室, 合肥 |
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| Abstract: |
| An isogeometric boundary element method in three dimensional acoustics and a related sensitivity analysis are presented.The structure geometry is built by NURBS surface.In sensitivity analysis,the control points are selected as design variables,and the direct differentiation method is used.The boundary integral equations and their sensitivity boundary integral equations are formulated under isogeometric discretization.An isogeometric version of the subtracting and adding back technique is adopted to eliminate singularities,in which the Cauchy principal value and the Hadamard finite part integral methods are also used.Numerical examples are presented to demonstrate the efficiency and validity of the proposed algorithm. |