The band gap characteristics of periodic structures provide a new idea for the field of seismic isolation in civil engineering，among which the one-dimensional periodic foundation structure has garnered significant attention due to its simple structure and economical applicability. In this paper，by studying the vibration characteristics of the one-dimensional periodic base structure，an approximate analytical solution for calculating the one-dimensional rubber-concrete periodic base band gap is derived，and on this basis，a one-dimensional rubber-concrete periodic foundation optimization design method based on the resonance zone of the superstructure is proposed. Numerical examples in the frequency domain and time domain show that the periodic foundation designed by this optimization method can ensure a good damping effect of its superstructure in a wide and continuous frequency range.

Due to the existence of a deep seawater layer in marine sites，its influence on the seabed ground vibration characteristics and the seismic response of marine structures is significant and should not be ignored in the seismic analysis of marine structures such as cross-sea bridges. Therefore，to determine the influence of the seawater layer on the seismic response of the structure，the study establishes the seismic fluctuation analysis model based on the seismic fluctuation theory for the coupled seawater-seabed-stayed bridge. In addition，considering that the marine environment may pose a threat to the durability of the damping members，the study proposes a new type of cable-stayed bridge damping system using Bulking Restrained Brace（BRB）with excellent durability as the longitudinal damping member，and takes the Qingzhou Channel Bridge as the engineering background to verify the seismic response by comparing it with the floating system cable-stayed bridge model. The feasibility of the new type of seismic damping system considering the influence of the marine environment is verified. The study optimizes the location and equipment parameters of the BRB. The design method of BRB as a longitudinal damping member for cable-stayed bridge is further determined. It is found that the hydrodynamic effect generated by seawater under the seismic action will amplify the seismic response of the super⁃ structure of the cable-stayed bridge. By comparing the seismic response of the structure under different working conditions，it is confirmed that the best overall seismic damping effect of the bridge is achieved when the BRB is installed at the pier and tower locations simultaneously. Besides，the parameters such as yield bearing capacity of BRB also have a great influence on the seismic performance of cable-stayed bridges.

The seismic safety evaluation of existing urban buildings （groups） is faced with multiple technical development of efficient analysis，rapid evaluation and quantitative determination. Considering the evolution of structural performance during the long-term service life，the safety evaluation of in-service buildings requires design and measurement information on the structures as well as regional ground motions to calibrate the real conditions of the structures，which can ensure the accuracy of the performance evaluation results within an acceptable timeliness. Based on the equivalent nonlinear single-degree-of-freedom model and the authors’ recent research on data-driven performance assessment index，this study proposes a method to map the global conditions of the structure with the measurement modal information and assess the seismic safety of the target building using the regional dataset of measured ground motion further. Based on the field testing and the HAZUS technical manual，the procedure of establishing the equivalent nonlinear single-degree-of-freedom representing the existing building is described. Two structural condition evaluation indicators are proposed，combined with multivariate engineering performance parameters，and the relationship between the deformation of an equivalent model and different seismic performance levels is further established. A high-rise regular RC frame structure located in Gongxian，Sichuan Province is considered as an example，the seismic safety of this building subjected to 10 local earthquakes measured from 2019 to 2022 is evaluated.

Tuned viscous mass damper （TVMD） is widely recognized as one of the promising inerter-based devices. This study focused on investigation of the effective damping ratio enhancement effect and optimal design of TVMD for building structures under seismic excitations. The TVMD control performance for the structural inherent damping energy dissipation power was regarded as an effective damping ratio added to the primary structure. Further，a theoretical expression of the TVMD effective damping ratio was derived based on the random vibration theory. To make the application of TVMD more valuable，TVMD was expected to obtain a larger effective damping ratio compared to the viscous damper （VD） with the same damping coefficient，which was defined as the effective damping ratio enhancement effect. The effective damping ratio enhancement factor was introduced for the quantitative evaluation of the enhancement effect on the damping ratio. Both the effective damping ratio and the effective damping ratio enhancement factor were considered as optimization objectives，and a closed-form solution of TVMD optimum design parameters was therefore proposed. Analysis results showed that the proposed closed-form solution had an excellent applicability and stability. The TVMD mass ratio and damping ratio were recommended to be less than 0.3 and 0.1，respectively，for the sake of the best efficiency of the damping ratio enhancement effect. A 7-story steel benchmark model was taken as an engineering example to illustrate the TVMD optimal design process and to verify the validity and superiority of the proposed closed-form solution. It was found that the deformation of the damping element for TVMD designed by the proposed closed-form solution was amplified remarkably，demonstrating the desired effective damping ratio enhancement effect. Most importantly，compared to the traditional closed-form solution，the best advantage of the proposed closed-form solution is to ensure that TVMD control performance is better than VD with the same damping coefficient，regardless of control efficiency problem.

The longitudinal linkage of the floating slab track （FST） has weakness due to the dynamic effects of FST longitudinal linkage，which are not adequately considered in the track design. By introducing the method of equivalent density and equivalent foundation coefficient to simplify the model of the base of a steel-spring-FST system，a three-dimensional finite element model of vibration characteristics analysis of prefabricated short and cast-in-situ FST system is established. In the proposed model，the influence of the rail，shear hinge，and foundation under the slab on the vibration characteristics of the floating slab structure is fully considered. The modal analysis and harmonic response analysis are analyzed with a focus on the dynamic effect characteristics of the longitudinal connecting slab of the FST system. The results show that： The modal shape of the FST in the low frequency band of 1~200 Hz mainly shows four types of motion： rigid body motion，bending，bending-torsion combination and torsion； For the prefabricated slab track system，the frequency band in which the floating slab dominates the vibration characteristics of the system conforms the system modal analysis and harmonious response analysis； For the cast-in-situ slab track system，when the frequency is within 32.6~57.8 Hz，the frequency band is the transition band，where the dominant role of the FST in the vibration characteristics of the system is weakened； The lower-order bending modes generated by the coupled slab dynamic effect are expressed as rigid body motion modes in the prefabricated slab system； for the FST composed of N_s slabs，the number of additional modes around each order of bending mode frequency of a single slab caused by the coupled slab effect is N_s/2‒1.

Π-shaped composite deck is an elastic bluff body，which is susceptible to aerodynamic instability. In the present study，a cable-stayed bridge with a Π-shaped composite deck is taken as the research object，and the vortex-induced vibration （VIV） and the aerodynamic countermeasures are investigated by using the small-scale wind tunnel tests and computational fluid dynamics （CFD） method. The wind speed range of the VIV for the Π-shaped composite deck is determined via the wind tunnel test. After that，several VIV mitigation measures are investigated. The computational fluid dynamics （CFD） method is used to study the mechanism of VIV and vibration suppression by aerodynamic measures. The results indicate that the VIV in the original section is caused by the interaction of the periodic shedding of the vortex in the wake area and the vortex evolution on the upper and lower surfaces of the girder； After adopting three different aerodynamic measures，the flow can pass through the section more smoothly，so as to mitigate the VIV effectively，except for the upper inverted L-shaped guide plate at the wind attack angle of +3°. This study can offer guidance on the wind-resistant design of a cable-stayed bridge with a Π-shaped composite deck.

The power generation of single-axis PV trackers system is significantly higher than that of the fixed photovoltaic system，making them widely used in recent years. The single-axis PV tracker is prone to torsional aerodynamic instability in the strong wind condition due to its low torsional stiffness，resulting in structural damage. In order to understand the occurrence conditions and mechanism of this vibration further，the present study investigates the influence of structural natural frequency，tilt angle，damping ratio and other parameters on torsional aerodynamic instability through wind tunnel tests with elastic support. The variations of aerodynamic damping and aerodynamic stiffness with wind speed and tilt angle are focused. The result shows torsional aerodynamic instability of single-axis PV trackers shows strong aerodynamic coupling effect. The aerodynamic damping and aerodynamic stiffness are significant parameters that can influence aerodynamic instability，which are sensitive to wind speed and tilt angle with self-excited vibration characteristics. The increase in torsional stiffness can effectively limit the amplitude at certain tilt angles and improve the critical wind speed of the structure at various tilt angles. The unstable tilt angle is approximately located in the range of -15°~20°. It is suggested that a large tilt angle can be used to avoid aerodynamic instability in strong wind. When a small tilt angle is inevitable，higher critical wind speed corresponds to a 0° tilt angle.

In recent years，acoustic black hole （ABH） has shown an extremely broad application prospect in the fields of structural vibration and noise suppression，acoustic wave control，energy recovery，etc，due to its excellent performance. However，the truncation of ABH edge will lead to the existence of non-zero reflection coefficient，thus weakening the acoustic black hole effect. In this paper，the constrained layer damping is introduced into ABH plates. Under the framework of Rayleigh Ritz method，Gaussian function is selected as the basis function，and the distribution of basis function is determined according to the shape of ABH plate to avoid the singularity of mass matrix and stiffness matrix. A semi analytical model of ABH plate with constrained layer damping is established. By comparing with the results of finite element analysis，the correctness of the semi analytical modeling method is verified. The influence of structural parameters of constrained layer damping on the bending vibration characteristics of ABH plate is studied，and the damping mechanism and energy dissipation of constrained layer damping are revealed. The experiment further verifies the damping effect of ABH plate with constrained layer damping. The research provides a design reference for the application of constrained layer damping in ABH structures.

In this paper，a two-dimensional analytical model for composite beams is first proposed through the equivalent transformation of the cross-section. Based on the mixed variational principle，the dynamic state equations are derived through finite element meshing and interpolation along the length of the beam，with frequency contained nodal displacements and their energy-conjugated stresses as element nodal variables. The differential quadrature method （DQM） is introduced to discretize the equations along the height of the beam，and natural frequencies of composite beams under different axial forces and boundary conditions are obtained. This method was verified by numerical examples about natural frequencies of three beams，i.e. a concrete-wood composite beam，a concrete beam with a corrugated steel web and steel-concrete composite beam. Since the proposed method is based on the two-dimensional theory，it can provide benchmarks for beam theories and error analyses.

Environmental vibration is one of the non-periodic and random broadband excitations. It is of great significance to study the characteristics of vibration energy harvesters under environmental vibrations. In this paper，the modified stochastic averaging method is used to solve the following parameters of piezoelectric beam with a variable cross-section： steady-state probability density function of equivalent amplitude，displacement and velocity，joint probability density function of displacement，and velocity and steady-state mean square output voltage. Then the study investigates the energy acquisition efficiency of a piezoelectric beam with a variable cross-section under Gaussian white noise excitation. The results show that when the load resistance reaches a certain value，the variable section piezoelectric beam with a section coefficient β>0 can produce better steady-state mean square output voltage than the constant section piezoelectric beam with β=0； when the section coefficient β>0，with the increase of the reciprocal of the product of resistance and capacitance，the mean square voltage of the variable-section piezoelectric beam shows a gradually decreasing trend. The trend shows the following rules： when the reciprocal value of the resistance and capacitance reaches a certain value，the larger the β value is，the higher the mean square voltage will become； with the increase of the noise intensity，the mean square voltage of the variable-section piezoelectric beams shows a trend of increasing gradually； when the noise intensity reaches a certain value，the larger the β value is，the higher the mean square voltage will become. The research results in this paper can provide a theoretical basis for the design and application of the variable-section piezoelectric cantilever energy harvesting system.