In order to give full play to the seismic potential of the movable support pier and improve the overall longitudinal synergistic effect of the continuous girder bridge，based on the principle of functional separation and synergistic force，a new type of mass rotation wrap rope device is proposed based on the mechanism of wrap rope. Taking a typical three-span continuous girder bridge as an example，the shaking table test is carried out by inputting actual seismic waves with different seismic spectrum characteristics and intensity as excitation，the seismic response with equal pier height model and unequal pier height model are analyzed to explore the synergistic force and shock absorption effect of the device on the continuous girder bridge. Through the test results of the response of the key positions of the structure such as the acceleration response，displacement response and strain response，it can be seen that the effect of the device on the movable bearing pier participating in the overall longitudinal synergistic force of the continuous girder bridge is more obvious，and with the increase of the ground motion input intensity，the synergistic effect of the device becomes more and more prominent，the design intention of the device is realized. At the same time，the effect of the device is related to factors such as the number of wrap rope turns of the device itself，the pier height of the movable bearing pier，etc. The design needs to determine the reasonable design parameters of the device according to different factors such as the pier height to achieve the best effect of the device.

Aiming at reducing multi-dimensional vibration experienced by vehicle-mounted precise instrument，a multi-dimensional passive vibration isolator is built based on parallel mechanism with joint clearance. The 4-PUU parallel mechanism with axes 45° offset value，which exhibits three translations and one rotation characteristics is synthesized by G_F set type synthesis theory. The springs and viscous dampers are added on the active joints，meanwhile the kinematics and dynamics of the multi-dimensional vibration isolator are established. The vibration isolation capability with different values of joint clearance under harmonic and road random excitations is addressed. The results demonstrate that the proposed multi-dimensional isolator with joint clearance can inhibit multi-dimensional vibration in time and frequency domain significantly. As the value of joint clearance increasing，the vibration isolation capability degenerates，especially in x direction. Meanwhile，the first order resonance peak is sensitive to joint clearance，which shifts to low frequency range.

The vibration and noise of mechanical structures caused by transmission system is one of the key problems that need to be solved in the research of high-speed mechanical equipment. This study investigates the location and optimization of vibration and noise reduction of a high speed packaging machine transmission system based on coupling vibration and noise experiment and simulation analysis. The vibration and noise test device and the rigid-flexible coupling dynamic simulation model of the high-speed packaging machine's transfer mechanism and its transmission system is established. Based on the experimental data，the load identification is carried out and the accuracy and reliability of the model is verified. Based on the model，combined with modal participation factor and acoustic contribution analysis method，the modal frequency and plate area with large acoustic contribution of the high-speed packaging machine transmission system are analyzed，which improves and optimizes the design of the transmission system. The results show that modal contribution analysis and plate contribution analysis can locate the noise problem area quickly and accurately to serve the optimization of the corresponding mechanical structure design. The vibration and noise performance of the optimized high speed packaging machine drive system is improved significantly.

To support the rapid and high-efficient elimination of the vibration fault of complex systems，this paper presents a quantitative method of vibration failure mode，which can realize the key verification of the vibration failure mode based on quantifiable value. The technical characteristics of the vibration fault tree analysis is discussed，which points out that fault tree analysis is not suitable for the vibration fault of complex systems. The quantification method of vibration failure mode is proposed，and dimensions of fault mode，like the probability of failure mode and the verifiability，are used to quantify. The vibration fault of the core machine of an aviation engine is introduced，and the specific application of the method of vibration failure mode is given. It proves that the quantization method of vibration fault mode has the availability，high efficiency，and the important value of the engineering application.

Considering the low accuracy problem of complex dynamic load identification under the effect of real measurement noise，an L1 norm regularized load identification method based on redundant extended cosine transform dictionary is proposed. According to the convolutional relationship between the system response and the external load，the discrete system control equation for load identification is established. According to the main characteristics of the vibration response signal，appropriate discrete cosine basis functions are selected and extended，and the extended cosine dictionary and the Db10 wavelet dictionary are used to cascade a redundant extended dictionary to represent the complex load sparsely. By using the L1 norm regularization method to solve the sparse representation vector under the proposed redundant extended cosine transform dictionary，the optimal regularization parameter is obtained by improved L curve criterion，and the identification of beat load and repetitive impact load at different noise levels is realized. The experimental verification results show that the constructed redundant extended cosine transform dictionary has much better performance in sparse representation of beat load and repetitive impact load，and the load identification method based on the redundant extended cosine transform dictionary has great advantages to obtain accurate inversion results and good robustness.

The steady-state and transient vibration responses of a medium thick hemispherical shell are obtained based on semi-analytical method. According to the first-order shear deformation theory，the energy expression of the spherical shell structure is deduced. The Jacobi orthogonal polynomials and Fourier series are introduced to represent the axial and circumferential displacements of the hemispherical shell structure. The steady vibration response of the hemispherical shell is obtained by Ritz method. The results are compared with the finite element method to verify the feasibility of the presented method in this paper. On this basis，the characteristics of steady and transient vibration of the hemispherical shell under different boundary conditions，truncated angle and shell thickness are summarized and analyzed.

The shaking table test of a half-cycle negative stiffness friction damping device with negative stiffness characteristics is carried out. Taking a four-floor steel structure frame as the seismic reduction research object，the half-cycle negative stiffness friction damping devices were arranged on the first and second floors of the steel structure frame respectively，and the seismic response of the structure under different ground motions was analyzed. The results show that the half-cycle negative stiffness friction damping device can control the acceleration and displacement response of the structure，and better seismic reduction effect can be obtained if it is arranged on the position with large structural deformation.

To investigate the dynamic response characteristics and stability of a high in-situ stress roadway rock enclosures under blasting vibrations，the comprehensive gas management lane of Pan San Mine in Huainan is used as the engineering background. The research method of theoretical analysis of the blasting operation disturbing the roadway envelope rock model is established. Based on the stress wave propagation theory and the wave front momentum conservation theorem，the vibration equations for the roadway envelope under blasting vibration are derived. The theoretical analysis is then supplemented by the use of numerical simulation research methods from the perspectives of PPV （Peak Particle Velocity） attenuation characteristics and stress distribution patterns of the roadway envelope. The stability of the roadway envelope is analyzed based on the simulation results. Differences in the angle of incidence of blast stress waves lead to different dynamic response characteristics in different areas of the roadway envelope. These conclusions are drawn from the roadway envelope vibration equations. As the burst core distance increases，the PPV of the surrounding rock near the profile face of the roadway fluctuates and the maximum peak vibration velocity is obtained at the free face. In-situ stress has a suppressive effect on the PPV of the roadway envelope. The greater the ground stress is，the more obvious the suppressive effect will be. There are differences in the sensitivity of the PPV of the envelope to ground stress at different locations in the roadway. As the magnitude of the in-situ stress increases，the force state of the roadway envelope under blast vibration changes from tensile shear to compressive shear，and the maximum principal and shear stresses increase. The study reaches the conclusions that as the depth of burial increases，the ground stress factor cannot be ignored when assessing the stability of the tunnel envelope under blasting vibration. In addition to the straight walls of the roadway，the corners and arch walls are also hazardous areas that should be reinforced and monitored for the Pan San Mine project site.

A simplified model for free vibration analysis of functionally graded plates is proposed based on higher-order shear deformation theory，the most significant feature of which is that it applies for the vibration analysis of functionally graded plates without any shear corrections. Compared with other shear deformation theories that contain more unknown variables，this model contains only one control equation，and thus greatly reduces the computational cost. Based on this simplified model，the free vibration of functionally graded rectangular plates with simple support boundary conditions is investigated and compared with other existing literature. The results show that the simplified model proposed in this paper is simple and accurate in solving the free vibration behavior of functional gradient plates. In addition，the effects of different gradient indices，aspect ratios，and length-thickness ratios on the free vibration behavior of functionally gradient plates are analytically discussed in the paper by several numerical arithmetic examples.

Oscillating underwater flexible structure actuated by smart materials are widely used in the fields of robotic fish，autonomous underwater vehicle，precision medical instrument，and so on. In this paper，the nonlinear hydrodynamics of an underwater Macro Fiber Composite （MFC）-actuated flexible cantilever undergoing large amplitude vibration is studied. The fluid-structure coupled dynamic equation of the proposed structure is established. Parametric 2D CFD studies of the proposed structure at different characteristic frequencies and amplitudes are performed. The distribution and evolution of the flow field in the vicinity of the vibrating structure are revealed. CFD results show that the vortex shedding，diffusion and convection phenomena which are responsible for the nonlinear hydrodynamic damping effect appear as the vibration amplitude increases. Then，a manageable expression for the revised hydrodynamic function governed by the interplay of the characteristic frequency and vibration amplitude is presented to model the hydrodynamic load exerted on the flexible structure undergoing finite amplitude vibration. The imaginary part of the revised hydrodynamic function which accounts for the hydrodynamic damping effect decreases with the characteristic frequency for the small amplitude vibration. It first decreases then increases for the finite amplitude vibration，exhibiting a strong nonlinear behavior. Experimental results show that the measured frequency response spectrums of the proposed structure undergoing finite amplitude match well with the predicted results of the developed model. Thus，the validities of the developed hydrodynamic function and fluid-structure coupled dynamic equation are demonstrated.