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The inverse dynamics problem was developed in order to provide researchers with the state of the art in inverse problems for dynamic and vibrational systems. Contrasted with a forward problem, which solves for the system output in a straightforward manner, an inverse problem searches for the system input through a procedure contaminated with errors and uncertainties. An inverse problem, with a focus on structural dynamics, determines the changes made to the system and estimates the inputs, including forces and moments, to the system, utilizing measurements of structural vibration responses only. With its complex mathematical structure and need for more reliable input estimations, the inverse problem is still a fundamental subject of research among mathematicians and engineering scientists. This book contains 11 articles that touch upon various aspects of inverse dynamic problems.

Technology: general issues --- regenerative shock absorbers --- energy harvesting --- active control of automobile suspension systems --- railroad tracks --- track modulus --- computer simulation --- artificial neural networks --- Fiber-reinforced Foamed Urethane (FFU) --- free vibration --- impact hammer excitation technique --- high-rate dynamics --- structural health monitoring --- time-frequency analysis --- synchrosqueezing transform (SST) --- jerk --- acceleration onset --- higher-order derivatives of acceleration --- jounce --- acceleration-dot --- sports surfacing --- sand surface --- dynamic behaviour --- impact tests --- accelerometry --- greyhound racing --- equine racing --- shake table control --- vibration testing --- system identification --- inverse dynamics --- feedback linearization --- servohydraulics --- inverse problems --- quantum graphs --- delta-prime vertex conditions --- Bayesian inference --- uncertainty quantification --- dynamical systems --- inverse problem --- machine learning --- Gaussian process --- polynomial chaos --- impact force identification --- tower structure --- impact localization --- force history --- inverse algorithm --- rotor dynamic --- bearing --- centrifugal pump --- impeller diameter --- Lagrangian equations --- regenerative shock absorbers --- energy harvesting --- active control of automobile suspension systems --- railroad tracks --- track modulus --- computer simulation --- artificial neural networks --- Fiber-reinforced Foamed Urethane (FFU) --- free vibration --- impact hammer excitation technique --- high-rate dynamics --- structural health monitoring --- time-frequency analysis --- synchrosqueezing transform (SST) --- jerk --- acceleration onset --- higher-order derivatives of acceleration --- jounce --- acceleration-dot --- sports surfacing --- sand surface --- dynamic behaviour --- impact tests --- accelerometry --- greyhound racing --- equine racing --- shake table control --- vibration testing --- system identification --- inverse dynamics --- feedback linearization --- servohydraulics --- inverse problems --- quantum graphs --- delta-prime vertex conditions --- Bayesian inference --- uncertainty quantification --- dynamical systems --- inverse problem --- machine learning --- Gaussian process --- polynomial chaos --- impact force identification --- tower structure --- impact localization --- force history --- inverse algorithm --- rotor dynamic --- bearing --- centrifugal pump --- impeller diameter --- Lagrangian equations

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• Reference Manager
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The inverse dynamics problem was developed in order to provide researchers with the state of the art in inverse problems for dynamic and vibrational systems. Contrasted with a forward problem, which solves for the system output in a straightforward manner, an inverse problem searches for the system input through a procedure contaminated with errors and uncertainties. An inverse problem, with a focus on structural dynamics, determines the changes made to the system and estimates the inputs, including forces and moments, to the system, utilizing measurements of structural vibration responses only. With its complex mathematical structure and need for more reliable input estimations, the inverse problem is still a fundamental subject of research among mathematicians and engineering scientists. This book contains 11 articles that touch upon various aspects of inverse dynamic problems.

regenerative shock absorbers --- energy harvesting --- active control of automobile suspension systems --- railroad tracks --- track modulus --- computer simulation --- artificial neural networks --- Fiber-reinforced Foamed Urethane (FFU) --- free vibration --- impact hammer excitation technique --- high-rate dynamics --- structural health monitoring --- time-frequency analysis --- synchrosqueezing transform (SST) --- jerk --- acceleration onset --- higher-order derivatives of acceleration --- jounce --- acceleration-dot --- sports surfacing --- sand surface --- dynamic behaviour --- impact tests --- accelerometry --- greyhound racing --- equine racing --- shake table control --- vibration testing --- system identification --- inverse dynamics --- feedback linearization --- servohydraulics --- inverse problems --- quantum graphs --- delta-prime vertex conditions --- Bayesian inference --- uncertainty quantification --- dynamical systems --- inverse problem --- machine learning --- Gaussian process --- polynomial chaos --- impact force identification --- tower structure --- impact localization --- force history --- inverse algorithm --- rotor dynamic --- bearing --- centrifugal pump --- impeller diameter --- Lagrangian equations --- n/a

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Passive vibration control plays a crucial role in structural engineering. Common solutions include seismic isolation and damping systems with various kinds of devices, such as viscous, viscoelastic, hysteretic, and friction dampers. These strategies have been widely utilized in engineering practice, and their efficacy has been demonstrated in mitigating damage and preventing the collapse of buildings, bridges, and industrial facilities. However, there is a need for more sophisticated analytical and numerical tools to design structures equipped with optimally configured devices. On the other hand, the family of devices and dissipative elements used for structural protection keeps evolving, because of growing performance demands and new progress achieved in materials science and mechanical engineering. This Special Issue collects 13 contributions related to the development and application of passive vibration control strategies for structures, covering both traditional and innovative devices. In particular, the contributions concern experimental and theoretical investigations of high-efficiency dampers and isolation bearings; optimization of conventional and innovative energy dissipation devices; performance-based and probability-based design of damped structures; application of nonlinear dynamics, random vibration theory, and modern control theory to the design of structures with passive energy dissipation systems; and critical discussion of implemented isolation/damping technologies in significant or emblematic engineering projects.

History of engineering & technology --- stay cable --- vibration control --- hybrid control --- inertial mass damper --- viscous damper --- passive vibration control --- inerter system --- cable bracing --- parametric study --- optimal design --- tuned mass damper --- inerter --- high-rise buildings --- wind tunnel test --- wind-induced response --- structural control --- synchronous multi-point pressure measurement --- seismic protection --- displacement-dependent damping --- stochastic dynamic analysis --- metal damper --- performance parameter --- cyclic loading test --- hysteretic behavior --- energy dissipation capability --- multi-degree of freedom --- graphical approach --- suspension bridges --- seismic test --- pushover test --- precast concrete structure --- shake table --- Base-Isolated Buildings --- bearing displacement --- STMD --- MTMDs --- d-MTMDs --- incremental dynamic analysis --- earthquake --- energy dissipation --- “double-step” characteristics --- stiffness lifting --- seismic performance --- horizontal connection --- prefabricated shear wall structural systems --- high-tech factory --- lead rubber bearing --- moving crane --- soil structure interaction --- vibration --- wind load --- motion-based design --- uncertainty conditions --- constrained multi-objective optimization --- reliability analysis --- passive structural control --- cable-stayed bridges --- adjacent buildings --- seismic pounding --- energy-dissipation systems --- distributed damping systems --- optimal placement --- multibuilding systems --- hybrid genetic algorithm --- parallel computing --- pounding protection --- seismic isolation --- energy dissipation devices --- negative stiffness device --- damped structures --- stay cable --- vibration control --- hybrid control --- inertial mass damper --- viscous damper --- passive vibration control --- inerter system --- cable bracing --- parametric study --- optimal design --- tuned mass damper --- inerter --- high-rise buildings --- wind tunnel test --- wind-induced response --- structural control --- synchronous multi-point pressure measurement --- seismic protection --- displacement-dependent damping --- stochastic dynamic analysis --- metal damper --- performance parameter --- cyclic loading test --- hysteretic behavior --- energy dissipation capability --- multi-degree of freedom --- graphical approach --- suspension bridges --- seismic test --- pushover test --- precast concrete structure --- shake table --- Base-Isolated Buildings --- bearing displacement --- STMD --- MTMDs --- d-MTMDs --- incremental dynamic analysis --- earthquake --- energy dissipation --- “double-step” characteristics --- stiffness lifting --- seismic performance --- horizontal connection --- prefabricated shear wall structural systems --- high-tech factory --- lead rubber bearing --- moving crane --- soil structure interaction --- vibration --- wind load --- motion-based design --- uncertainty conditions --- constrained multi-objective optimization --- reliability analysis --- passive structural control --- cable-stayed bridges --- adjacent buildings --- seismic pounding --- energy-dissipation systems --- distributed damping systems --- optimal placement --- multibuilding systems --- hybrid genetic algorithm --- parallel computing --- pounding protection --- seismic isolation --- energy dissipation devices --- negative stiffness device --- damped structures

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Passive vibration control plays a crucial role in structural engineering. Common solutions include seismic isolation and damping systems with various kinds of devices, such as viscous, viscoelastic, hysteretic, and friction dampers. These strategies have been widely utilized in engineering practice, and their efficacy has been demonstrated in mitigating damage and preventing the collapse of buildings, bridges, and industrial facilities. However, there is a need for more sophisticated analytical and numerical tools to design structures equipped with optimally configured devices. On the other hand, the family of devices and dissipative elements used for structural protection keeps evolving, because of growing performance demands and new progress achieved in materials science and mechanical engineering. This Special Issue collects 13 contributions related to the development and application of passive vibration control strategies for structures, covering both traditional and innovative devices. In particular, the contributions concern experimental and theoretical investigations of high-efficiency dampers and isolation bearings; optimization of conventional and innovative energy dissipation devices; performance-based and probability-based design of damped structures; application of nonlinear dynamics, random vibration theory, and modern control theory to the design of structures with passive energy dissipation systems; and critical discussion of implemented isolation/damping technologies in significant or emblematic engineering projects.

History of engineering & technology --- stay cable --- vibration control --- hybrid control --- inertial mass damper --- viscous damper --- passive vibration control --- inerter system --- cable bracing --- parametric study --- optimal design --- tuned mass damper --- inerter --- high-rise buildings --- wind tunnel test --- wind-induced response --- structural control --- synchronous multi-point pressure measurement --- seismic protection --- displacement-dependent damping --- stochastic dynamic analysis --- metal damper --- performance parameter --- cyclic loading test --- hysteretic behavior --- energy dissipation capability --- multi-degree of freedom --- graphical approach --- suspension bridges --- seismic test --- pushover test --- precast concrete structure --- shake table --- Base-Isolated Buildings --- bearing displacement --- STMD --- MTMDs --- d-MTMDs --- incremental dynamic analysis --- earthquake --- energy dissipation --- “double-step” characteristics --- stiffness lifting --- seismic performance --- horizontal connection --- prefabricated shear wall structural systems --- high-tech factory --- lead rubber bearing --- moving crane --- soil structure interaction --- vibration --- wind load --- motion-based design --- uncertainty conditions --- constrained multi-objective optimization --- reliability analysis --- passive structural control --- cable-stayed bridges --- adjacent buildings --- seismic pounding --- energy-dissipation systems --- distributed damping systems --- optimal placement --- multibuilding systems --- hybrid genetic algorithm --- parallel computing --- pounding protection --- seismic isolation --- energy dissipation devices --- negative stiffness device --- damped structures

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In this Special Issue on symmetry, we mainly discuss the application of symmetry in various structural health monitoring. For example, considering the health monitoring of a known structure, by obtaining the static or dynamic response of the structure, using different signal processing methods, including some advanced filtering methods, to remove the influence of environmental noise, and extract structural feature parameters to determine the safety of the structure. These damage diagnosis methods can also be effectively applied to various types of infrastructure and mechanical equipment. For this reason, the vibration control of various structures and the knowledge of random structure dynamics should be considered, which will promote the rapid development of the structural health monitoring. Among them, signal extraction and evaluation methods are also worthy of study. The improvement of signal acquisition instruments and acquisition methods improves the accuracy of data. A good evaluation method will help to correctly understand the performance with different types of infrastructure and mechanical equipment.

real-time hybrid simulation --- H∞ control --- time delay --- mixed sensitivity --- structural health monitoring --- deep learning --- data anomaly detection --- convolutional neural network --- time–frequency extraction --- micro inertial measurement unit (MIMU) --- variational mode decomposition (VMD) --- Hilbert–Huang transform (HHT) --- frequency-domain integration approach (FDIA) --- torsion angle calculation --- offshore oil platform --- self-anchored suspension bridge --- cable clamp --- slippage --- force analysis --- high formwork --- ARMA --- BPNN --- stress trend prediction --- crack detection --- improved YOLOv4 --- concrete surface --- substructure shake table testing --- integration algorithm --- finite element method --- damper --- digital twin --- prestressed steel structure --- construction process --- safety assessment --- intelligent construction --- structural health monitoring (SHM) --- vibration --- frequency domain --- time domain --- time-frequency domain --- technical codes --- multiple square loops (MSL)-string --- seismic excitation --- dynamic response --- seismic pulse --- near and far field --- three-dimensional laser scanning --- surface flatness of initial support of tunnel --- curved surface fitting --- flatness calculation datum --- curvedcontinuous girder bridge --- collision response --- seismic mitigation --- pounding mitigation and unseating prevention --- heavy-duty vehicle --- road --- coupling model --- terrestrial laser scanning --- RGB --- genetic algorithm --- artificial neutral network