کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4963984 1447417 2017 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Globally convergent nonlinear 3D inverse model for smart materials with Hessian-based optimization
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Globally convergent nonlinear 3D inverse model for smart materials with Hessian-based optimization
چکیده انگلیسی
A globally convergent and fully coupled 3D inverse model for smart materials is presented. In practice, stress and field (electric, magnetic, or temperature) are applied to smart materials whereas strain and flux density (electric, magnetic, or temperature) are measured. We refer to constitutive models that follow this scheme as direct models. In certain design and control situations, however, inverse models are necessary in which the field and stress are found from specified flux density and strain. This inversion typically involves an iterative procedure, which may be prone to convergence issues. An inverse model approach is proposed for arbitrary smart materials. The inversion requirement is a continuous and second order differentiable direct model for any chosen smart material. The approach is globally convergent, which makes it ideal for use in finite element frameworks. The premise of the proposed iterative system model is to constitute a recursive correction formula based on second order approximations of a novel scalar error function which offers a faster convergence rate. A continuation approach is then used to achieve global convergence for arbitrary input parameters. Magnetostrictive Galfenol is chosen to illustrate the effectiveness of the inverse model, and compact analytical derivations of the Jacobian and Hessian matrices are presented. The convergence rate of the proposed approach is superior to that of an existing inverse model. Finally, the inverse model's robustness is demonstrated through integration of the model into a finite-element framework to simulate a magnetostrictive composite plate actuator in full 3D.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 318, 1 May 2017, Pages 864-881
نویسندگان
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