Dergiler / Mathematical and Computational Applications / 2010 / Cilt: 15 - Sayı: 5

Nonlinear transient analysis for large-scale dynamics of microelectromechanical systems with the MOR-PIM method

Sayfa
859–865
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The numerical example of V-beam electro-thermal actuator is shown to demonstrate that the MOR-PIM method can achieve high precision and fast speed when solving the nonlinear dynamic equation with large-scale freedom.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Microelectromechanical Systems (MEMS) is difficult to take transient analysis due to the tight coupling between the multiple energy domains, typically nonlinear.
📊
Temel Bulgular & Veri:An effective increment-dimensional precise integration method (PIM) combined with the model order reduction (MOR) technique based on Krylov subspace is present to solve large-scale nonlinear finite element dynamics systems.
💡
Sonuç & Katkı:The numerical example of V-beam electro-thermal actuator is shown to demonstrate that the MOR-PIM method can achieve high precision and fast speed when solving the nonlinear dynamic equation with large-scale freedom.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Microelectromechanical Systems (MEMS) is difficult to take transient analysis due to the tight coupling between the multiple energy domains, typically nonlinear. An effective increment-dimensional precise integration method (PIM) combined with the model order reduction (MOR) technique based on Krylov subspace is present to solve large-scale nonlinear finite element dynamics systems. The numerical example of V-beam electro-thermal actuator is shown to demonstrate that the MOR-PIM method can achieve high precision and fast speed when solving the nonlinear dynamic equation with large-scale freedom.

🔖

Bu Makaleye Atıf Yap

GUAN, L., CHU, J., GAO, J., ZHANG, R. (2010). Nonlinear transient analysis for large-scale dynamics of microelectromechanical systems with the MOR-PIM method. Mathematical and Computational Applications, Cilt: 15 - Sayı: 5, 859–865. https://ajindex.com/articles/279968

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (1)

  1. A. H. Nayfeh, M. I. Younis, and E. M. Abdel-Rahman, Reduced-order models for MEMS applications, Nonlinear Dynamics 41, 211-236, 2005 2. K. Subbara and M. A. Dokainish, A survey of direct time integration methods in computational structural dynamics: I Explicit methods, II Implicit methods, Computers & Structures 32, 371-1386, 1387-1401, 1989. 3. W. X. Zhong and F. W. Williams, A precise time step integration method, Journal of Mechanical Engineering Science 208, 427-430, 1994. 4. Y. X. Gu, B. S. Chen, H. W. Zhang and Z. Q. Guan, Precise time-integration method with dimensional expanding for structural dynamic equations, AIAA Journal 39, 2394-2399, 2001. 5. W. E. Arnoldi, The principle of minimized iterations in the solution of the matrix eigenvalue problem, Quart Appl Math 9, 17-29, 1951. 6. E. J. Grimme, Krylov projection methods for model reduction, University of Illinois at Urbana Champaig, 1997. 7. S. Gugercin, An iterative SVD-Krylov based method for model reduction of large-scale dynamical systems, Proceedings of the 44th IEEE Conference on Decision and Control, 5905-5910, 2005. 8. P. Feldmann and R. Freund, Efficient linear circuit analysis by Padé approximation via the lanczos process, IEEE Trans. Computer-Aided Design, 639-649, 1995. 9. S. Gugercin, Projection methods for model reduction of large-scale dynamical systems, Rice University, Houston, 2003. 10. J. K. Chu, L. Guan, D. Z. Qi, and X. C. Hao, Rapid Nonlinear Analysis for Electrothermal Microgripper Using Reduced Order Model Based on Krylov Subspace, International Journal of Nonlinear Sciences and Numerical Simulation 9, 333-338, 2008. 11. E. B. Rudnyi, J. Lienemann, A. Greiner and J. G. Korvink, Mor4ansys: Generating Compact Models Directly from ANSYS Models, Technical Proceedings of the 2004 Nanotechnology Conference and Trade Show, Nanotech, 2004.