MODELS OF NONLINEAR IMPULSIVE RESPONSES FOR SOFT MATERIAL

软材料非线性脉冲响应模型

• 批准号: 22560229
• 负责人: SHIMIZU Nobuyuki
• 金额: $ 3万
• 依托单位: Iwaki Meisei University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2010
• 资助国家: 日本
• 起止时间: 2010 至 2012
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22560229/
• 关键词: 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

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.

为了从理论上估计软材料的脉冲响应，作者将描述阻尼特性的分数阶导数引入到非线性固体力学的超弹性模型中，建立了描述脉冲响应阻尼行为的理论。为了验证理论的有效性，作者研制了落体式冲击试验装置进行了试验。理论分析与试验结果吻合较好。还研究了理论的应用范围和理论的修改。

项目成果

High Speed Algorithm forComputation of Fractional Differentiation and Integration

分数阶微分和积分计算的高速算法

• 发表时间: 2011
• 作者: Masataka Fukunaga;NobuyukiShimizu
• 通讯作者: NobuyukiShimizu

Comparison of Fractional Derivative Models for Finite Deformation with Experiment of Impulse Responses.

有限变形分数阶导数模型与脉冲响应实验的比较。

• 发表时间: 2012
• 作者: Nobuyuki Shimizu;Masataka Fukunaga
• 通讯作者: Masataka Fukunaga

A High-speed algorithm for computation of fractional differentiation and Fractional integration.

用于计算分数微分和分数积分的高速算法。

• 发表时间: 2013
• 作者: Masataka Fukunaga;Nobuyuki Shimizu
• 通讯作者: Nobuyuki Shimizu

Nonlinear Fractional Derivative Models of ViscoelasticImpact Dynamics Based on Entropy

基于熵的粘弹性冲击动力学非线性分数阶导数模型

• 发表时间: 2011
• 作者: Masataka Fukunaga;Nobuyuki Shimizu
• 通讯作者: Nobuyuki Shimizu

Three-Dimensional Fractional Derivative Models for Finite Deformation

有限变形的三维分数阶导数模型

• 发表时间: 2011
• 作者: Masataka Fukunaga;Nobuyuki Shimizu
• 通讯作者: Nobuyuki Shimizu