Acta Mechanica最新文献

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Size-dependent thermoelastic dissipation and frequency shift in micro/nano cylindrical shell based on surface effect and dual-phase lag heat conduction model 基于表面效应和双相滞后热传导模型的微型/纳米圆柱形外壳中与尺寸相关的热弹性耗散和频率偏移
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-10-31 DOI: 10.1007/s00707-024-04124-5
Shuanhu Shi, Xinghu Fan
{"title":"Size-dependent thermoelastic dissipation and frequency shift in micro/nano cylindrical shell based on surface effect and dual-phase lag heat conduction model","authors":"Shuanhu Shi,&nbsp;Xinghu Fan","doi":"10.1007/s00707-024-04124-5","DOIUrl":"10.1007/s00707-024-04124-5","url":null,"abstract":"<div><p>Accurately predicting the thermoelastic damping (TED) in the fundamental components of resonators is one of the keys to enhancing their quality factor (Q- factor). This study aims to establish a new theoretical model for predicting the TED of cylindrical shells at micro/nanoscale considering size-dependent effect. The surface effect and the dual-phase-lags heat conduction model are included in the motion equation. The motion equation under transverse deflection-dominated vibration was simplified based on the Donnell–Mushtari–Vlasov approximation method. Applying the Galerkin method the nonclassical resonant frequency has been derived by combining the compatibility equations and motion equation. The analytical solutions for TED of cylindrical shells under classical boundary conditions were derived using the complex frequency method. The correctness of the theoretical derivations and numerical results has been validated through numerical comparison method. The numerical results indicate that both size-dependent surface effect and thermal conductivity effect are crucial to the TED of cylindrical shells. Specifically, surface effect contributes to reducing the thermoelastic dissipation and enhancing the Q-factor of micro/nano cylindrical shells. This conclusion is contrary to the TED predictions for cylindrical shells based on nonlocal elasticity theory. Moreover, the impacts of other key factors on the frequency attenuation, frequency shift, and TED of cylindrical shells were discussed. This study is helpful to the design of resonators made of micro/nano cylindrical shells.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7855 - 7879"},"PeriodicalIF":2.3,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlinear free vibrations of sandwich plates with FG GPLR face sheets based on the full layerwise finite element method 基于全层有限元法的带有 FG GPLR 面板的夹层板的非线性自由振动
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-10-27 DOI: 10.1007/s00707-024-04129-0
Mohammad Sadegh Tayebi, Sattar Jedari Salami, Majid Tavakolian
{"title":"Nonlinear free vibrations of sandwich plates with FG GPLR face sheets based on the full layerwise finite element method","authors":"Mohammad Sadegh Tayebi,&nbsp;Sattar Jedari Salami,&nbsp;Majid Tavakolian","doi":"10.1007/s00707-024-04129-0","DOIUrl":"10.1007/s00707-024-04129-0","url":null,"abstract":"<div><p>The current article is an innovative attempt to utilize the full layerwise (LW) finite element approach for investigating the nonlinear vibrations of sandwich plates with functionally graded graphene nanoplatelets (GPLs)-reinforced face sheets. The fundamental novelty of this research is the employment of the full LW theory, which provides accuracy equivalent to three-dimensional (3D) elasticity while reducing computational cost, simplifying mesh modification, and enabling faster attainment of the element stiffness matrix by maintaining the 2D structure. The uniform or functionally graded distributions of GPLs within the face sheets are considered. The effective material properties of face sheets are estimated according to the rule of mixtures and the Halpin–Tsai model. Subsequent to confirming the convergence and validity of the numerical approach and formulation, thorough parametric analyses are executed to assess the effects of various factors involving the thickness ratio of the core-to-face sheet, edge constraints, and geometric parameters, together with dispersion pattern, volume fraction, and the dimension of GPLs on the nonlinear vibration conducts of the sandwich plate. The findings demonstrate that as the core-to-face sheet thickness ratio of the sandwich plate rises, the linear and nonlinear-to-linear frequency (NTL) display opposite trends. Furthermore, the NTL ratio is not notably altered by the configuration type of the face sheets.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7835 - 7854"},"PeriodicalIF":2.3,"publicationDate":"2024-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142736810","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Investigation of static buckling and bending of nanoplates made of new functionally graded materials considering surface effects on an elastic foundation 考虑弹性地基表面效应的新型功能分级材料纳米板静态屈曲和弯曲研究
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-10-24 DOI: 10.1007/s00707-024-04127-2
Van-Loi Nguyen, Van-Long Nguyen, Minh-Tu Tran, Xuan-Trung Dang
{"title":"Investigation of static buckling and bending of nanoplates made of new functionally graded materials considering surface effects on an elastic foundation","authors":"Van-Loi Nguyen,&nbsp;Van-Long Nguyen,&nbsp;Minh-Tu Tran,&nbsp;Xuan-Trung Dang","doi":"10.1007/s00707-024-04127-2","DOIUrl":"10.1007/s00707-024-04127-2","url":null,"abstract":"<div><p>Most research currently is limited to isotropic or porous materials reinforced by graphene platelets (GPLs). However, functionally graded materials (FGMs) made of two different material constituents offer many advantages in terms of durability, strength, high-temperature resistance, and design flexibility. Therefore, a new FGM model reinforced by GPLs (GPL-reinforced FGM) is proposed to enhance the performance of nanoplate structures. This paper presents analytical solutions for buckling and static bending problems of the GPL-reinforced FGM nanoplates with surface stress effects placed on a Pasternak elastic foundation. Three variation laws of the FGM (i.e., P-FGM, E-FGM, and S-FGM) combined with four GPL patterns (i.e., UD, FG-O, FG-X, and FG-V) are studied. The governing equations of the nanoplate resting on the elastic foundation are derived based on the principle of minimum total potential energy, Reddy’s third-order shear deformation theory (TSDT), nonlocal strain gradient (NSG) theory (NSGT), and Gurtin–Murdoch surface elasticity theory (SET). The Navier technique is then utilized to determine the critical buckling load, deflection, and stress components of the nanoplate. The influence of material parameters, NSG parameters, surface energy parameters, and elastic foundation parameters on the static buckling and bending behaviors of the GPL-reinforced FGM nanoplate is investigated.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7807 - 7833"},"PeriodicalIF":2.3,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimation of dispersion and attenuation of Rayleigh waves in viscoelastic inhomogeneous layered half-space based on spectral method 基于频谱法估算粘弹性非均质层半空间中瑞利波的频散和衰减
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-10-22 DOI: 10.1007/s00707-024-04119-2
Caiguang Li, Peijun Wei, Xiao Guo
{"title":"Estimation of dispersion and attenuation of Rayleigh waves in viscoelastic inhomogeneous layered half-space based on spectral method","authors":"Caiguang Li,&nbsp;Peijun Wei,&nbsp;Xiao Guo","doi":"10.1007/s00707-024-04119-2","DOIUrl":"10.1007/s00707-024-04119-2","url":null,"abstract":"<div><p>The dispersion and attenuation characteristics of Rayleigh waves in a non-uniform viscoelastic half-space with a covering layer are studied in this paper. The half-space and the covering layer are modeled by the fractional-order Zener viscoelastic solid. Compared with the traditional integer-order viscoelastic model, the viscoelastic model with fractional-order derivative is more flexible in describing the complicated history-dependent mechanical behavior. Legendre and Laguerre orthogonal polynomials are used to approximate the displacement field of surface waves. The rectangular window function is used to merge the surface boundary conditions. The complicated problem of solving the complex wave number in the complex region is ultimately transformed into an eigenvalue problem. The correctness of the method is verified by comparing our outcomes with those in the literature. It is found that the present spectrum method avoids the complicated iterative process of root-finding and the pseudo-root and root-missing problem compared to the traditional root-finding method. Moreover, the uneven gradient distribution of the cover layer and half-space has opposite effects on the propagation of Rayleigh waves at low and high frequencies, and the same influence applies to fractional-order effects. The present study has important theoretical significance and application potential in the geophysical exploration and earthquake engineering.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7789 - 7805"},"PeriodicalIF":2.3,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142736917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modeling and analysis of a capacitive MEMS with a microstructured gap subjected to a mechanical shock 带有微结构间隙的电容式 MEMS 受机械冲击的建模与分析
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-10-21 DOI: 10.1007/s00707-024-04116-5
Ahmed Hashim Kareem, Mohammad Fathalilou, Ghader Rezazadeh
{"title":"Modeling and analysis of a capacitive MEMS with a microstructured gap subjected to a mechanical shock","authors":"Ahmed Hashim Kareem,&nbsp;Mohammad Fathalilou,&nbsp;Ghader Rezazadeh","doi":"10.1007/s00707-024-04116-5","DOIUrl":"10.1007/s00707-024-04116-5","url":null,"abstract":"<div><p>The objective of this paper is to present a mathematical model for examining the response of capacitive MEMS with elastomeric microstructured gaps, to mechanical shock pulses. This type of MEMS has attracted increasing attention in recent years due to its enhanced sensitivity, particularly in healthcare systems. Although the literature successfully develops experimental analysis, it lacks a comprehensive mathematical model to predict behavior, as well as necessary analysis. This paper presents a model that focuses on the response of a half-sine shock. The capacitor gap has been filled with a micro-pillar array made of polydimethylsiloxane (PDMS) as a microstructured layer. Three sets of coupled nonlinear differential equations have been obtained to govern the transverse vibrations of the beam, and the axial and bending vibrations of the pillars. PDMS has been assumed to follow the Kelvin–Voigt model, along with the nonlinear strain. A comparison was made between the air and PDMS gap systems, revealing that the former experiences a response amplitude several times smaller than the latter due to the added stiffness of the pillars in the absence of an electrostatic field. Nevertheless, when the electrostatically actuated beam is subjected to shock, the opposite results may be observed. This is due to the opposing effects of the added stiffness of the pillars and the gap’s higher permittivity. The results demonstrate that the provided model is capable of accurately predicting the response of the microstructured-gap capacitor to mechanical shocks and other external stimuli.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7751 - 7764"},"PeriodicalIF":2.3,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Airfoil-shaped vortex generators for separation control and drag reduction on wind turbine blades 用于风力涡轮机叶片分离控制和减少阻力的翼形涡流发生器
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-10-21 DOI: 10.1007/s00707-024-04126-3
Hariprasanth Palanivel, Rinku Mukherjee
{"title":"Airfoil-shaped vortex generators for separation control and drag reduction on wind turbine blades","authors":"Hariprasanth Palanivel,&nbsp;Rinku Mukherjee","doi":"10.1007/s00707-024-04126-3","DOIUrl":"10.1007/s00707-024-04126-3","url":null,"abstract":"<div><p>A passive flow control device, <i>Clark-Y</i> airfoil-shaped vortex generator (VG) on NREL Phase VI turbine blade, which has <i>s809</i> airfoil section, is investigated. Both qualitative oil flow visualization from wind tunnel experiments and quantitative measures of aerodynamic coefficients using steady-state CFD with OpenFOAM are reported. Airfoil-shaped VGs are proposed and compared with traditional rectangular and triangular VGs. The use of airfoil-shaped VGs to delay separation, improving aerodynamic efficiency, inducing local pressure peaks and augmenting vorticity in the flow field are reported in detail. Results show that blades equipped with airfoil-shaped VGs provide a <span>(5%)</span> lift coefficient increase and a <span>(27.68%)</span> drag coefficient reduction compared to clean blades at a stall angle of <span>(alpha = 11^circ )</span>. Airfoil-shaped VGs also generate more vorticity downstream compared to conventional VGs, contributing to maximum increase in peak vorticity inducing an additional momentum to the flow to delay separation without significant drag penalty. Thus, airfoil-shaped VGs offer a promising alternative to traditional VG designs.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7765 - 7787"},"PeriodicalIF":2.3,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737207","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Equivalent spring-like system for two nonlinear springs in series: application in metastructure units design 两个非线性串联弹簧的等效弹簧系统:在结构单元设计中的应用
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-10-19 DOI: 10.1007/s00707-024-04055-1
L. Cveticanin
{"title":"Equivalent spring-like system for two nonlinear springs in series: application in metastructure units design","authors":"L. Cveticanin","doi":"10.1007/s00707-024-04055-1","DOIUrl":"10.1007/s00707-024-04055-1","url":null,"abstract":"<div><p>The paper deals with the problem of design of unit in auxetic metastructure. The unit is modeled as a two-part spring-like system where each part is with individual stiffness. To overcome the problem of analyzing of each of parts separately, the equivalent spring is suggested to be introduced. In the paper, a method for obtaining the equivalent elastic force of the unit is developed. The method is the generalization of the procedure suggested for substitution of a hard and a soft spring in series with an equivalent one. The nonlinearity of original springs is of quadratic order. As a results, it is obtained that the equivalent elastic force for two equal springs remains of the same type as of the original springs (soft or hard). For two opposite type springs in series with equal coefficients, the equivalent force is soft. The method is applicable for any hard and soft nonlinear springs or spring-like systems. Thus the hexagonal auxetic unit which contains a soft and a hard part in series is analyzed. In the paper, a new analytic method for determination of the frequency of vibration for the unit under action of a constant compression force acting along the unit axis is introduced. The method is applied for units which contain two parts: hard–hard, soft–soft, hard–linear, soft–linear and opposite. The obtained approximate vibration results are compared with numerically obtained ones and show good agreement. The advantage of the method is its simplicity as it does not require the nonlinear equation of motion to be solved.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7733 - 7749"},"PeriodicalIF":2.3,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-024-04055-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142736913","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Free vibration analysis of hybrid laminated thin-walled cylindrical shells containing multilayer FG-CNTRC plies 包含多层 FG-CNTRC 层的混合层压薄壁圆柱壳的自由振动分析
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-10-18 DOI: 10.1007/s00707-024-04082-y
Jiaocheng Ma, He Gao
{"title":"Free vibration analysis of hybrid laminated thin-walled cylindrical shells containing multilayer FG-CNTRC plies","authors":"Jiaocheng Ma,&nbsp;He Gao","doi":"10.1007/s00707-024-04082-y","DOIUrl":"10.1007/s00707-024-04082-y","url":null,"abstract":"<div><p>In this paper, the free vibration analysis of hybrid laminated thin-walled cylindrical shells is investigated based on Sanders’s thin shell theory and artificial spring technology. The hybrid laminated shells are made of graphite fiber reinforced composite (GFRC) and multilayer functionally gradient carbon nanotube-reinforced composite (FG-CNTRC) plies. The influence of Coriolis and centrifugal forces on the shell's strain and kinetic energy, resulting from rotation, has been considered. The orthogonal polynomials are selected as the admissible function and the Rayleigh–Ritz method is employed to obtain the natural frequency. The results of the study are validated against the results of open literature. The influences of CNT distribution patterns, number of plies, stacking sequences, CNT volume fraction, boundary constraints(BCs), rotating speed, and the orientation angle on the natural frequency of the cylindrical shells. The results show that specific stacking configurations can significantly enhance the fundamental frequency of the shell. It provides a reference for the design and optimization of hybrid laminated cylindrical shell structures.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7711 - 7731"},"PeriodicalIF":2.3,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlinear aerothermoelastic analysis of deployable control fin with actuator stiffness subjected to high-speed compressible flows 对受高速可压缩气流影响的带推杆刚度的可展开控制鳍进行非线性气动热弹性分析
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-10-17 DOI: 10.1007/s00707-024-04118-3
Amit K. Thawait, Parag Tandaiya, Prakash C. Jain, Abhilash J. Chandy
{"title":"Nonlinear aerothermoelastic analysis of deployable control fin with actuator stiffness subjected to high-speed compressible flows","authors":"Amit K. Thawait,&nbsp;Parag Tandaiya,&nbsp;Prakash C. Jain,&nbsp;Abhilash J. Chandy","doi":"10.1007/s00707-024-04118-3","DOIUrl":"10.1007/s00707-024-04118-3","url":null,"abstract":"<div><p>The current work investigates the aerothermoelastic behavior of control fins with nonlinear deployable joints connected to a nonlinear actuator. The fin is attached to a cylindrical body with a hemispherical bow, and the fin–body configuration is subjected to Mach 6 hypersonic flow with a nonzero angle of attack. A Navier–Stokes flow model-based computational fluid dynamics (CFD) solver is coupled to a finite element thermoelastic solver using mapping-based coupling technique. Diffusion function-based smoothing method is used for the CFD grid deformation. The fin is assumed to be connected to a finite stiffness actuator at the root, and the effects of actuator stiffness, actuator freeplay as well as freeplay at the deployable joint are investigated. Flow field, structural and thermal quantities are evaluated and reported for various fin configurations. A complex coupling between different modes of deformation is observed and it is shown that the actuator rotation or angle of attack, and hence torque, strongly depends on the actuator and joint freeplays. The obtained results indicate a significant increase in instabilities in the fin oscillation with increasing joint and root freeplay.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7661 - 7686"},"PeriodicalIF":2.3,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737206","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Active vibration control method of a novel on-orbit assembled large-scale two-dimensional planar phased array antenna 新型在轨组装大型二维平面相控阵天线的主动振动控制方法
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-10-17 DOI: 10.1007/s00707-024-04120-9
Chaochen Jin, Xiang Liu, Heng Yu, Guoping Cai, Jun Sun, Dongfang Zhu
{"title":"Active vibration control method of a novel on-orbit assembled large-scale two-dimensional planar phased array antenna","authors":"Chaochen Jin,&nbsp;Xiang Liu,&nbsp;Heng Yu,&nbsp;Guoping Cai,&nbsp;Jun Sun,&nbsp;Dongfang Zhu","doi":"10.1007/s00707-024-04120-9","DOIUrl":"10.1007/s00707-024-04120-9","url":null,"abstract":"<div><p>Planar phased array antennas have significant applications in fields such as space communication, electronic reconnaissance, navigation, remote sensing and deep space exploration. This study focuses on the active vibration control of a novel on-orbit assembled large-scale two-dimensional planar phased array antenna. The novel structure and assembly method of the antenna are introduced. Using the finite element method, we develop the dynamic model of antenna structure. Due to the low and dense natural frequency characteristics of the structure, the distributed cable actuators are used to suppress the vibration. Considering the unilateral and saturated constraints of the cable force, the control law is designed by combining the linear quadratic regulator with the Bang–Bang regulator. The controllability criterion and particle swarm optimization algorithm are adopted to optimize the actuator distribution. We validate established dynamic model and control method by numerically simulating. The simulation results indicate that the dynamic model can describe the dynamic behavior as accurately as ABAQUS; the controller can effectively suppress the vibration of the antenna structure.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7687 - 7710"},"PeriodicalIF":2.3,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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