MODELS OF NONLINEAR IMPULSIVE RESPONSES FOR SOFT MATERIAL

• 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
• Project Status: Completed (Fiscal Year 2012)
• Budget Amount: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000); Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2010: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
• Keywords: 運動力学 / 粘弾性体 / 衝撃応答 / 非線形モデル / 分数微分モデル

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] A High-speed algorithm for computation of fractional differentiation and Fractional integration. (2013)
  • Author(s): Masataka Fukunaga and Nobuyuki Shimizu
  • Journal Title: Philosophical Transactions of The Royal Society A Mathematical, Physical & Engineering Sciences Volume: 371 Pages: 1-16
  • Peer Reviewed
• [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
• [Journal Article] Nonlinear Fractional Derivative Models of Viscoelastic Impact Dynamics Based on Entropy Elasticity and Generalized Maxwell Law (2011)
  • Author(s): M.Fukunaga, N.Shimizu
  • Journal Title: J.of Comp.and Nonlinear Dynamics, ASME Volume: 6 Pages: 1-6
  • Peer Reviewed
• [Presentation] Comparison of Fractional Derivative Models for Finite Deformation with Experiment of Impulse Responses. (2012)
  • Author(s): Nobuyuki Shimizu and Masataka Fukunaga
  • Organizer: The 5th IFAC Symposium on FDA2012
  • Place of Presentation: Hohai University, Nanjing, China
• [Presentation] A Hybrid Fractional Differentiation. (2012)
  • Author(s): Nobuyuki Shimizu and Masataka Fukunaga
  • Organizer: The 5th IFAC Symposium on FDA2012
  • Place of Presentation: Hohai University, Nanjing, China
• [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.
• [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.
• [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