کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6753122 | 1430808 | 2018 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The reduced space Sequential Quadratic Programming (SQP) method for calculating the worst resonance response of nonlinear systems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی عمران و سازه
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![عکس صفحه اول مقاله: The reduced space Sequential Quadratic Programming (SQP) method for calculating the worst resonance response of nonlinear systems The reduced space Sequential Quadratic Programming (SQP) method for calculating the worst resonance response of nonlinear systems](/preview/png/6753122.png)
چکیده انگلیسی
A coupled approach combining the reduced space Sequential Quadratic Programming (SQP) method with the harmonic balance condensation technique for finding the worst resonance response is developed. The nonlinear equality constraints of the optimization problem are imposed on the condensed harmonic balance equations. Making use of the null space decomposition technique, the original optimization formulation in the full space is mathematically simplified, and solved in the reduced space by means of the reduced SQP method. The transformation matrix that maps the full space to the null space of the constrained optimization problem is constructed via the coordinate basis scheme. The removal of the nonlinear equality constraints is accomplished, resulting in a simple optimization problem subject to bound constraints. Moreover, second order correction technique is introduced to overcome Maratos effect. The combination application of the reduced SQP method and condensation technique permits a large reduction of the computational cost. Finally, the effectiveness and applicability of the proposed methodology is demonstrated by two numerical examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Sound and Vibration - Volume 425, 7 July 2018, Pages 301-323
Journal: Journal of Sound and Vibration - Volume 425, 7 July 2018, Pages 301-323
نویسندگان
Haitao Liao, Wenwang Wu, Daining Fang,