It is particularly important to explore the response and transmission characteristics of shoe sole when exposed to foot-transmitted vibration(FTV)in daily life.In this study,based on mechanical mobility and vibration ...It is particularly important to explore the response and transmission characteristics of shoe sole when exposed to foot-transmitted vibration(FTV)in daily life.In this study,based on mechanical mobility and vibration transmissibility,the vibration response and transmission characteristics of ordinary sole and multi-cellular structure sole under three excitation modes were analyzed with finite element analysis.The analysis results of the ordinary sole are as follows:The distribution and transmission of vibration energy of ordinary sole are more related to the excitation position and mode-shape;the phalange region is more violent in vibration response to vibration and transmission of vibration.In addition,the analysis results of multi-cellular structure soles show that different types of multi-cellular structure soles have different effects on the equivalent mechanical mobility and the equivalent vibration transmissibility,among which Grid type has the greatest influence.So,this study can help prevent foot injury and provide guidance for the optimal design of the sole.展开更多
A novel elastic metamaterial is proposed with the aim of achieving lowfrequency broad bandgaps and bandgap regulation.The band structure of the proposed metamaterial is calculated based on the Floquet-Bloch theorem,an...A novel elastic metamaterial is proposed with the aim of achieving lowfrequency broad bandgaps and bandgap regulation.The band structure of the proposed metamaterial is calculated based on the Floquet-Bloch theorem,and the boundary modes of each bandgap are analyzed to understand the effects of each component of the unit cell on the bandgap formation.It is found that the metamaterials with a low elastic modulus of ligaments can generate flexural wave bandgaps below 300 Hz.Multi-frequency vibrations can be suppressed through the selective manipulation of bandgaps.The dual-graded design of metamaterials that can significantly improve the bandgap width is proposed based on parametric studies.A new way that can regulate the bandgap is revealed by studying the graded elastic modulus in the substrate.The results demonstrate that the nonlinear gradient of the elastic modulus in the substrate offers better bandgap performance.Based on these analyses,the proposed elastic metamaterials can pave the way for multi-frequency vibration control,low-frequency bandgap broadening,and bandgap tuning.展开更多
基金the National Natural Science Foundation of China(No.52175230)Natural Science Foundation of Fujian Province(Nos.2021J01297,2020J011234 and 2020J011227)+3 种基金Technology Program Pilot Project of Fujian Province(No.2020H0015)Xiamen Medical and Health Guidance Project(No.3502720199009)Research Start-Up Fund Project of Huaqiao University(No.11BS412)Subsidized Project for Postgraduates’Innovation Fund in Scientific Research of Huaqiao University(Nos.19013080038 and 20014080038)。
文摘It is particularly important to explore the response and transmission characteristics of shoe sole when exposed to foot-transmitted vibration(FTV)in daily life.In this study,based on mechanical mobility and vibration transmissibility,the vibration response and transmission characteristics of ordinary sole and multi-cellular structure sole under three excitation modes were analyzed with finite element analysis.The analysis results of the ordinary sole are as follows:The distribution and transmission of vibration energy of ordinary sole are more related to the excitation position and mode-shape;the phalange region is more violent in vibration response to vibration and transmission of vibration.In addition,the analysis results of multi-cellular structure soles show that different types of multi-cellular structure soles have different effects on the equivalent mechanical mobility and the equivalent vibration transmissibility,among which Grid type has the greatest influence.So,this study can help prevent foot injury and provide guidance for the optimal design of the sole.
基金Project supported by the National Natural Science Foundation of China(Nos.11872233,U2341231,and 12102245)。
文摘A novel elastic metamaterial is proposed with the aim of achieving lowfrequency broad bandgaps and bandgap regulation.The band structure of the proposed metamaterial is calculated based on the Floquet-Bloch theorem,and the boundary modes of each bandgap are analyzed to understand the effects of each component of the unit cell on the bandgap formation.It is found that the metamaterials with a low elastic modulus of ligaments can generate flexural wave bandgaps below 300 Hz.Multi-frequency vibrations can be suppressed through the selective manipulation of bandgaps.The dual-graded design of metamaterials that can significantly improve the bandgap width is proposed based on parametric studies.A new way that can regulate the bandgap is revealed by studying the graded elastic modulus in the substrate.The results demonstrate that the nonlinear gradient of the elastic modulus in the substrate offers better bandgap performance.Based on these analyses,the proposed elastic metamaterials can pave the way for multi-frequency vibration control,low-frequency bandgap broadening,and bandgap tuning.
