MODELS OF NONLINEAR IMPULSIVE RESPONSES FOR SOFT MATERIAL

2012 Fiscal Year Final Research Report

• Project/Area Number: 22560229
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Dynamics/Control
• Research Institution: Iwaki Meisei University
• Principal Investigator: SHIMIZU Nobuyuki いわき明星大学, 科学技術学部, 研究員 (10196529)
• Project Period (FY): 2010 – 2012
• Keywords: 運動力学 / 粘弾性体 / 衝撃応答 / 非線形モデル

Research Abstract

To theoretically estimate the impulsive responses of soft materials, the author established the theory for describing the damping behavior of impulsive responses by introducing the fractional derivative which describes the damping property into hyper-elastic models in nonlinear solid mechanics. To verify the validity of the theory, the author conducted tests by developing the falling-mass type impact testapparatus. Theoretical analyses are in good agreement with the test results. The scope of applications in the theory and modifications for the theory were also investigated.

Research Products

• [Journal Article] Nonlinear Fractional Derivative Models of ViscoelasticImpact Dynamics Based on Entropy (2011)
  • Author(s): Masataka Fukunaga and Nobuyuki Shimizu
  • Journal Title: J. of Computational and Nonlinear Dynamics, Trans. of ASME Volume: Vol.6 Pages: 021005-1 - 021005-6
• [Presentation] High Speed Algorithm forComputation of Fractional Differentiation and Integration (2011)
  • Author(s): Masataka Fukunaga and NobuyukiShimizu
  • Organizer: Proceedings of the ASME 2011 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference IDETC/CIE 2011, DETC2011-47408
  • Place of Presentation: Washington, DC, USA.
  • Year and Date: 20110828-31
• [Presentation] Three-Dimensional Fractional Derivative Models for Finite Deformation (2011)
  • Author(s): Masataka Fukunaga and Nobuyuki Shimizu
  • Organizer: Proceedings of the ASME 2011 International Design Engineering Technical Conferences & Computers and Information in Engineering ConferenceIDETC/CIE 2011, DETC2011-47552
  • Place of Presentation: Washington, DC, USA.
  • Year and Date: 20110828-31
• [Presentation] Nonlinear fractional-derivative models for viscoelastic materials (2010)
  • Author(s): Masataka Fukunaga and Nobuyuki Shimizu
  • Organizer: ii. Comparison of models with experimental data. In I. Podlubny, B. M., Vinagre Jara, Y. Q. Chen, V. Feliu Battle, and I. Tejado Balsera, editors, Proceedings of FDA'10, The 4th IFAC Workshop Fractional Differentiationand its Applications. Badajoz, Spain
  • Year and Date: 20101018-20