Metamaterial based on local resonance has excellent vibration attenuation ability in low frequency.In this research,an attempt was performed to make meta-mortar with spring-mass resonators to attenuate vibration and s...Metamaterial based on local resonance has excellent vibration attenuation ability in low frequency.In this research,an attempt was performed to make meta-mortar with spring-mass resonators to attenuate vibration and shock hazards.Single-spring-mass resonators and dual-spring-mass resonators were designed and made using lead or aluminum blocks and SWPB springs encased by PMMA(polymethyl methacrylate)or aluminum frames.These resonators were placed into mortar blocks to make metamortar specimens.Vibration attenuation effect was investigated by sweeping vibration with frequency from 50 Hz to 2000 Hz.All these meta-mortar blocks exhibit excellent vibration attenuation ability in the designed band gaps.With dual-spring-mass resonators,meta-mortar blocks have two distinct vibration attenuation bands.展开更多
The tridiagonal coefficient matrix for the ＂fixed-fixed＂ spring-mass system was obtained by changing spring length. And then a new algorithm of the inverse problem was designed to construct the masses and the spring...The tridiagonal coefficient matrix for the ＂fixed-fixed＂ spring-mass system was obtained by changing spring length. And then a new algorithm of the inverse problem was designed to construct the masses and the spring constants from the natural frequencies of the ＂fixed-fixed＂ and ＂fixed-fres＂ spring-mass systems. An example was given to illustrate the results.展开更多
Chaotic oscillations are useful in assessing the health of a structure. Hence, simple chaotic systems which can easily be realized mechanically or electro-mechanically are highly desired. We study a new pieeewise line...Chaotic oscillations are useful in assessing the health of a structure. Hence, simple chaotic systems which can easily be realized mechanically or electro-mechanically are highly desired. We study a new pieeewise linear spring-tnass system. The chaotic behaviour in this system is characterized using bifurcation diagrams and the invariant parameters of the dynamics. We also show that there exists a stochastic analogue of this system, which mimics the dynamical features of its deterministic counterpart. This allows a greater flexibility in practical designs as the chaotic oscillations are obtained either deterministically or stochastically. Also, the oscillations are low dimensional, which reduces the computational resources needed for obtaining the invariant parameters of this system.展开更多
欧拉-伯努利梁模型和一维弹簧振子模型是原子力显微镜(atomic force microscopy,AFM)的动力学理论基础。该文章提出了计算等效阻尼的新方法,并分别用挠曲线函数和一阶振型函数两种简化方式计算了由欧拉-伯努利梁模型简化为一维弹簧振子...欧拉-伯努利梁模型和一维弹簧振子模型是原子力显微镜(atomic force microscopy,AFM)的动力学理论基础。该文章提出了计算等效阻尼的新方法,并分别用挠曲线函数和一阶振型函数两种简化方式计算了由欧拉-伯努利梁模型简化为一维弹簧振子模型的等效质量、等效刚度和等效阻尼,并对两种简化方式进行了比较。在各项参数等效的基础上,进一步对固定端位移激励下悬臂梁的响应振幅进行了探讨。最后设计了无针尖探针远离样品处的扫频实验,实验表明用一阶振型函数简化所得的理论结果和实验吻合较好。该结果为原子力显微镜的动力学特性研究提供了理论参考。展开更多
基金Supports from National Natural Science Foundation of China(Grant No.12002160,and Grant No.11972184)China National Key Laboratory Foundation of Science and Technology on Materials under Shock and Impact(Grant No.6142902200203)+2 种基金Natural Science Foundation of Jiangsu Province of China(Grant No.BK20200412,BK20201286)National Defense Basic Scientific Research Program of China(TCA20030)Science and Technology Project of Jiangsu Province of China(Grant No.BE2020716)。
文摘Metamaterial based on local resonance has excellent vibration attenuation ability in low frequency.In this research,an attempt was performed to make meta-mortar with spring-mass resonators to attenuate vibration and shock hazards.Single-spring-mass resonators and dual-spring-mass resonators were designed and made using lead or aluminum blocks and SWPB springs encased by PMMA(polymethyl methacrylate)or aluminum frames.These resonators were placed into mortar blocks to make metamortar specimens.Vibration attenuation effect was investigated by sweeping vibration with frequency from 50 Hz to 2000 Hz.All these meta-mortar blocks exhibit excellent vibration attenuation ability in the designed band gaps.With dual-spring-mass resonators,meta-mortar blocks have two distinct vibration attenuation bands.
基金Project supported by the National Natural Science Foundation of China(Grant No.10271074)
文摘The tridiagonal coefficient matrix for the ＂fixed-fixed＂ spring-mass system was obtained by changing spring length. And then a new algorithm of the inverse problem was designed to construct the masses and the spring constants from the natural frequencies of the ＂fixed-fixed＂ and ＂fixed-fres＂ spring-mass systems. An example was given to illustrate the results.
基金the Council of Scientific and Industrial Research(CSIR),New Delhi for Financial Support through a Senior Research Fellowship(SRF)
文摘Chaotic oscillations are useful in assessing the health of a structure. Hence, simple chaotic systems which can easily be realized mechanically or electro-mechanically are highly desired. We study a new pieeewise linear spring-tnass system. The chaotic behaviour in this system is characterized using bifurcation diagrams and the invariant parameters of the dynamics. We also show that there exists a stochastic analogue of this system, which mimics the dynamical features of its deterministic counterpart. This allows a greater flexibility in practical designs as the chaotic oscillations are obtained either deterministically or stochastically. Also, the oscillations are low dimensional, which reduces the computational resources needed for obtaining the invariant parameters of this system.
文摘欧拉-伯努利梁模型和一维弹簧振子模型是原子力显微镜(atomic force microscopy,AFM)的动力学理论基础。该文章提出了计算等效阻尼的新方法,并分别用挠曲线函数和一阶振型函数两种简化方式计算了由欧拉-伯努利梁模型简化为一维弹簧振子模型的等效质量、等效刚度和等效阻尼,并对两种简化方式进行了比较。在各项参数等效的基础上,进一步对固定端位移激励下悬臂梁的响应振幅进行了探讨。最后设计了无针尖探针远离样品处的扫频实验,实验表明用一阶振型函数简化所得的理论结果和实验吻合较好。该结果为原子力显微镜的动力学特性研究提供了理论参考。
