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Nonlinear Frequency Responses of the Bistable Piezoelectric Plate 双稳压电板的非线性频率响应
Procedia IUTAM Pub Date : 2017-01-01 Epub Date: 2017-08-30 DOI: 10.1016/j.piutam.2017.08.032
Minghui Yao, Wenxia Hu, Wei Zhang
{"title":"Nonlinear Frequency Responses of the Bistable Piezoelectric Plate","authors":"Minghui Yao,&nbsp;Wenxia Hu,&nbsp;Wei Zhang","doi":"10.1016/j.piutam.2017.08.032","DOIUrl":"10.1016/j.piutam.2017.08.032","url":null,"abstract":"<div><p>In the past few years, the energy harvester of piezoelectric beam has been extensively studied. In this paper, the bistable piezoelectric plate was adopted as the structure of energy harvester. The model consists of four parts including the substructure layer, the piezoelectric film, the protective layer and the magnet, which the material of the substructure layer and the piezoelectric layer are respectively carbon fiber and PVDF. The boundary conditions of the plate are simply supported by two opposite sides, which the other two sides are free. The base of the plate is subjected to the harmonic excitation. Based on von Karman large deformation theory and Hooke law, the partial differential equation for nonlinear vibration of the bistable piezoelectric system is derived by using Hamilton's principle. The Galerkin method is employed to discrete the partial differential equations to the ordinary differential equations. Then, the method of multiple scales is applied to perturbation analysis to obtain the nonlinear averaged equations in the polar form. Frequency-response curves of the piezoelectric plate are obtained by numerical simulations. The effects of the excitation amplitude, the damping coefficient, the piezoelectric parameters, the nonlinear parameters and the magnetic distance on nonlinear vibration of the bistable piezoelectric plate are studied.</p></div>","PeriodicalId":74499,"journal":{"name":"Procedia IUTAM","volume":"22 ","pages":"Pages 208-215"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.piutam.2017.08.032","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55248758","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
Nonlinear Waves in a Two-ring Network with a Transverse Coupling 具有横向耦合的双环网络中的非线性波
Procedia IUTAM Pub Date : 2017-01-01 Epub Date: 2017-08-30 DOI: 10.1016/j.piutam.2017.08.030
Dongyuan Yu , Nan Ding , Jing Zhou , Xu Xu
{"title":"Nonlinear Waves in a Two-ring Network with a Transverse Coupling","authors":"Dongyuan Yu ,&nbsp;Nan Ding ,&nbsp;Jing Zhou ,&nbsp;Xu Xu","doi":"10.1016/j.piutam.2017.08.030","DOIUrl":"10.1016/j.piutam.2017.08.030","url":null,"abstract":"<div><p>A two-ring network coupling by a transverse link is considered in this paper. Divide and conquer algorithm is used to analyze the stability and Hopf bifurcation values. Nonlinear waves (such as synchronization and reflection waves) are studied using the center manifold theorem and normal form theory. It is shown that appropriate settings of transverse coupling can guarantee the backup of the complicated dynamics from one ring to the other.</p></div>","PeriodicalId":74499,"journal":{"name":"Procedia IUTAM","volume":"22 ","pages":"Pages 244-250"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.piutam.2017.08.030","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55248506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamics of a Wobblestone Lying on Vibrating Platform Modified by Magnetic Interactions 磁相互作用对振动平台上摆动石动力学的影响
Procedia IUTAM Pub Date : 2017-01-01 Epub Date: 2017-08-30 DOI: 10.1016/j.piutam.2017.08.026
Jan Awrejcewicz, Grzegorz Kudra
{"title":"Dynamics of a Wobblestone Lying on Vibrating Platform Modified by Magnetic Interactions","authors":"Jan Awrejcewicz,&nbsp;Grzegorz Kudra","doi":"10.1016/j.piutam.2017.08.026","DOIUrl":"10.1016/j.piutam.2017.08.026","url":null,"abstract":"<div><p>Mathematical model of the rattleback is developed, where a special attention is payed to realistic and numerically effective modelling of the contact forces – friction forces and rolling resistance. In particular, special approximations of the resultant friction force and moment for non-point contact area are developed and applied. These reduced models allow to avoid necessity of use of the space discretization near the contact. The rattleback dynamics – regular and chaotic - is investigated numerically in the case of vibrations of the platform on which the object is located. Moreover, the interaction between a pair of magnets - the first situated inside the wobblestone and the second inside the platform – is modelled. The influence of the magnetic force on the system dynamics is investigated – especially in the context of possible use of the rattleback as energy harvesting system.</p></div>","PeriodicalId":74499,"journal":{"name":"Procedia IUTAM","volume":"22 ","pages":"Pages 229-236"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.piutam.2017.08.026","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55248313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Impact of the interaction of surge, wave and tide on a storm surge on the north coast of Vietnam 浪涌、波浪和潮汐相互作用对越南北海岸风暴潮的影响
Procedia IUTAM Pub Date : 2017-01-01 Epub Date: 2017-10-13 DOI: 10.1016/j.piutam.2017.09.013
Tran Hong Thai , Nguyen Ba Thuy , Vu Hai Dang , Sooyoul Kim , Lars Robert Hole
{"title":"Impact of the interaction of surge, wave and tide on a storm surge on the north coast of Vietnam","authors":"Tran Hong Thai ,&nbsp;Nguyen Ba Thuy ,&nbsp;Vu Hai Dang ,&nbsp;Sooyoul Kim ,&nbsp;Lars Robert Hole","doi":"10.1016/j.piutam.2017.09.013","DOIUrl":"10.1016/j.piutam.2017.09.013","url":null,"abstract":"<div><p>In the present paper, the interaction of surge, wave and tide on the north coast of Vietnamis assessed using a coupled model of surge, wave and tide. A series of storm surge simulations for Typhoons Frankie (1996) andWashi (2005) are carried out, considering the effects of the tide and the wave that combines a wave dependent drag and wave-induced radiation stress to find out a predominant factor in the storm surge generation. Typhoon Frankieis landfalled at the low tide while TyphoonWashi landfalled at the high tide. The results indicate that the effect of the wave is crucial to the storm surge simulation. In particular, the wave induced-surge improves the accuracy of the storm surge level up to 30 %. It also shows that the surge induced by wave radiation stress is dependant with the space resolution, and the finest resolution is improved and in close agreement with the observation. On the other hand, the influence of the tide is ignorable for the case of Typhoon Frankie and considerable in the case of Typhoon Washi.</p></div>","PeriodicalId":74499,"journal":{"name":"Procedia IUTAM","volume":"25 ","pages":"Pages 82-91"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.piutam.2017.09.013","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55249817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Wave setup properties in the surge-wave coupled simulation: a case study of Typhoon Khanun 浪-波耦合模拟中的波浪设置特性——以台风“哈农”为例
Procedia IUTAM Pub Date : 2017-01-01 Epub Date: 2017-10-13 DOI: 10.1016/j.piutam.2017.09.017
Fuchun Lai , Haijiang Liu
{"title":"Wave setup properties in the surge-wave coupled simulation: a case study of Typhoon Khanun","authors":"Fuchun Lai ,&nbsp;Haijiang Liu","doi":"10.1016/j.piutam.2017.09.017","DOIUrl":"10.1016/j.piutam.2017.09.017","url":null,"abstract":"<div><p>The accurate prediction of surge height is vitally important in designing coastal defense structures. With the advancement of computation efficiency, many researchers have studied the wave-current interaction on surge height by coupling hydrodynamic and wave models. In this study, Deflt3D Flow model was interacted dynamically with Delft3D Wave model to simulate the storm surge process caused by typhoon Khanun to obtain the spatiotemporal properties on wave setup induced by storm wind. Simulations with and without wave model have been conducted, revealing that the spatiotemporally varying wave setup distribute along the coastal line when typhoon is in the open sea with large wave height and surge height around. The spatial distribution of nearshore wave setup at landfall moment was obtained. Nevertheless the contribution of wave effects on storm surge increases slightly under intensive storm wind, with the maximum wave setup near typhoon center accounting for 10% of the peak surge height.</p></div>","PeriodicalId":74499,"journal":{"name":"Procedia IUTAM","volume":"25 ","pages":"Pages 111-118"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.piutam.2017.09.017","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55249873","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Modal Interactions and Time Delay Control of a Parametrically Excited Nonlinear Composite Column 参数激励非线性复合柱的模态相互作用与时滞控制
Procedia IUTAM Pub Date : 2017-01-01 Epub Date: 2017-08-30 DOI: 10.1016/j.piutam.2017.08.012
Jerzy Warminski, Andrzej Teter
{"title":"Modal Interactions and Time Delay Control of a Parametrically Excited Nonlinear Composite Column","authors":"Jerzy Warminski,&nbsp;Andrzej Teter","doi":"10.1016/j.piutam.2017.08.012","DOIUrl":"10.1016/j.piutam.2017.08.012","url":null,"abstract":"<div><p>Modal interactions, stability analysis and time delay control of a composite column loaded by axial periodic force is presented in the paper. The simply supported column is composed of channel sections made of layers of a laminate with an arrangement which couples bending and twisting of the structure. The laminate coupling, together with a nonlinear geometrical displacement field result in a nonlinear model with parametric excitation. It is shown that for the selected configuration different mode couplings and parametric instability zones may occur. In order to stabilise the system a time delay displacement feedback control is proposed. An effect of the time delay control on the first principal parametric resonance zone is studied analytically and numerically.</p></div>","PeriodicalId":74499,"journal":{"name":"Procedia IUTAM","volume":"22 ","pages":"Pages 91-98"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.piutam.2017.08.012","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55247518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Synchronization-based Estimation of the Maximal Lyapunov Exponent of Nonsmooth Systems 非光滑系统最大Lyapunov指数的同步估计
Procedia IUTAM Pub Date : 2017-01-01 Epub Date: 2017-03-22 DOI: 10.1016/j.piutam.2017.03.005
Michael Baumann , Remco I. Leine
{"title":"Synchronization-based Estimation of the Maximal Lyapunov Exponent of Nonsmooth Systems","authors":"Michael Baumann ,&nbsp;Remco I. Leine","doi":"10.1016/j.piutam.2017.03.005","DOIUrl":"10.1016/j.piutam.2017.03.005","url":null,"abstract":"<div><p>The maximal Lyapunov exponent of a nonsmooth system is the lower bound for the proportional feedback gain necessary to achieve full state synchronization. In this paper, we prove this statement for the general class of nonsmooth systems in the framework of measure differential inclusions. The results are used to estimate the maximal Lyapunov exponent using chaos synchronization, which is illustrated on an impact oscillator.</p></div>","PeriodicalId":74499,"journal":{"name":"Procedia IUTAM","volume":"20 ","pages":"Pages 26-33"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.piutam.2017.03.005","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55244119","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Exact Invariant Solutions for Coherent Turbulent Motions in Couette and Poiseuille Flows 库埃特流和泊泽维尔流中相干湍流运动的精确不变解
Procedia IUTAM Pub Date : 2017-01-01 Epub Date: 2017-03-22 DOI: 10.1016/j.piutam.2017.03.013
Subhandu Rawat , Carlo Cossu , François Rincon
{"title":"Exact Invariant Solutions for Coherent Turbulent Motions in Couette and Poiseuille Flows","authors":"Subhandu Rawat ,&nbsp;Carlo Cossu ,&nbsp;François Rincon","doi":"10.1016/j.piutam.2017.03.013","DOIUrl":"10.1016/j.piutam.2017.03.013","url":null,"abstract":"<div><p>The dynamical systems approach recently applied to understand subcritical transitions in wall-bounded shear flows is combined with the use of large-eddy simulations to investigate the nature of large-scale coherent motions in turbulent Couette and Poiseuille flows. Exact invariant solutions of the filtered Navier-Stokes (LES) equations are computed by using the Smagorinsky model to parametrize small-scale motions. These solutions can be continued into exact solutions of the Navier-Stokes equations, therefore providing a bridge between coherent large-scale motions in wall-bounded fully developed turbulent flows and invariant solutions appearing in transitional flows.</p></div>","PeriodicalId":74499,"journal":{"name":"Procedia IUTAM","volume":"20 ","pages":"Pages 94-98"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.piutam.2017.03.013","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55244836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Regularities of Coordination Spheres in the Crystal Lattice of the Cubic Symmetry 立方对称晶格中配位球的规律
Procedia IUTAM Pub Date : 2017-01-01 Epub Date: 2017-08-30 DOI: 10.1016/j.piutam.2017.06.018
Mikhail Starostenkov , Pavel Tabakov , Veronika Romanenko , Evgeniya Chernykh
{"title":"Regularities of Coordination Spheres in the Crystal Lattice of the Cubic Symmetry","authors":"Mikhail Starostenkov ,&nbsp;Pavel Tabakov ,&nbsp;Veronika Romanenko ,&nbsp;Evgeniya Chernykh","doi":"10.1016/j.piutam.2017.06.018","DOIUrl":"10.1016/j.piutam.2017.06.018","url":null,"abstract":"<div><p>A procedure that allows us to describe the distribution patterns of atomic sites of the diamond type structure over the coordination spheres is presented. The spatial packing of the coordination spheres is formed by the vertices of the seven base polyhedra with cubic symmetry and the four polyhedra with tetrahedral symmetry. The former is given by a set of the seven regular or semi-regular polyhedra of Platonic and Archimedean solids such as the cube, the truncated cube, the octahedron, the cubic-, truncated-, rhomboidal-, and truncated cubic octahedrons. The latter is given by a set of four other shapes such as the tetrahedron, the rhombohedral-, truncated-, and truncated rhombohedral tetrahedrons.</p></div>","PeriodicalId":74499,"journal":{"name":"Procedia IUTAM","volume":"23 ","pages":"Pages 167-176"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.piutam.2017.06.018","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55246608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Storm surge disaster risk assessment and zoning, taking Cangnan County for instance 风暴潮灾害风险评估与区划，以苍南县为例
Procedia IUTAM Pub Date : 2017-01-01 Epub Date: 2017-10-13 DOI: 10.1016/j.piutam.2017.09.014
Tao Li , Cifu Fu , Fangdong Wang , Jianxi Dong
{"title":"Storm surge disaster risk assessment and zoning, taking Cangnan County for instance","authors":"Tao Li ,&nbsp;Cifu Fu ,&nbsp;Fangdong Wang ,&nbsp;Jianxi Dong","doi":"10.1016/j.piutam.2017.09.014","DOIUrl":"10.1016/j.piutam.2017.09.014","url":null,"abstract":"<div><p>The storm surge and inundation simulation using the shallow-water circulation model ADCIRC has been implemented for the Cangnan County of Zhejiang Province. The main purpose is using this model to estimate the coastal storm surge disaster risk and zoning. The hindcast experiments indicate that the model system has good performance in capturing the changes of storm surge caused by tropical cyclones. Compared to the observations, the average deviation of the peak value of water level is less than 10%. We used the hypothetical tropical cyclones and the 19a of June-October mean high astronomical tide, and combined the geographic elevation and land description to assess the inundation hazard. It shows that the inundation hazard is high in the coastal region of Jinxiang Town and the south bank area of Aojiang River, but is relatively low in the Jiangnan Inning and the high altitude inland areas. The risk assessment that integrates the inundation hazard and the structure vulnerability is also conducted to zone the county into the different storm surge disaster risk levels, which can give support to the effective prevention of various tropical cyclone storm surge in the future.</p></div>","PeriodicalId":74499,"journal":{"name":"Procedia IUTAM","volume":"25 ","pages":"Pages 92-99"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.piutam.2017.09.014","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55249823","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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