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 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.

A nonlinear two-degree-of-freedom system is used to construct an aircraft landing gear model. The stochastic excitation of the uneven runway to the system is described by time-domain noise，and the road roughness coefficient is used to describe the roughness of runway. Based on the probability density function and the statistics of system response，the influence of uneven runway on aircraft landing gear system is investigated. The reliability of the landing gear model and the passenger comfort under different road roughness coefficients are analyzed by establishing the relationship between the safety zones，comfort zones and the system response. The results show that the larger the road roughness coefficient is，the more fluctuation of the system state variable will be. The reliability and comfort of the system are negatively correlated with the road roughness coefficient. In addition，when the road roughness coefficient is small，the mean first-passage time and comfort of the system are more significantly affected by random disturbance. The present paper provides a theoretical basis for aircraft riding comfort and landing gear development and design.

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.

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.

In order to seek a kind of tank structure which can absorb shock and reduce costs，a new structure system of isolation tank is proposed. The restoring force model of rolling isolation is deduced by the principle of balances of forces，and the restoring force model of composite rolling isolation device is obtained. Based on the three-particle model and site soil model，the simplified mechanical model and motion equations of the new isolation tank considering soil-tank-liquid interaction （STLI） are proposed，and the seismic responses of seismic tank and new isolation tank that considered STLI and Non-STLI are studied under different sites. The results show that the new isolation tank can effectively reduce the base shear and overturning moment，but the control of the sloshing wave height is limited. It is suggested that in the high intensity area，under the premise of meeting the shaking wave height，the new isolation tank can be designed to reduce the intensity. After considering the STLI effect，the base shear and overturning moment of seismic tank decrease obviously. The discrepancy rate gradually increases from class Ⅰ site to class Ⅳ site，and the decrease is most significant in soft soil. The seismic responses of the new isolation tank are less affected by the STLI，which can effectively cut off the coupling between the superstructure and the site soil，and weaken the influence of the STLI effect on the superstructure.

Compressed sensing can effectively relieve the burden of data storage and transmission for mechanical condition monitoring. However，this method exists some problems such as low compression efficiency and slow signal reconstruction process in the application of fault diagnosis. In this paper，using the corresponding relationship between autoencoder and compressed sensing，a novel fault feature extraction method of the rolling bearing in the compressed domain based on the deep convolutional measurement network is proposed. For the problem that noise-free fault signal samples are difficult to obtain，a dataset construction method based on the fault mechanism is proposed. The model trained on this dataset is suitable for bearing signals under different working conditions A deep convolutional denoising autoencoder （DCDAE） is constructed，in which the number of layers is determined by the required signal compression rate and the frequency of the hidden layer corresponds to that of the original signal. The fully trained encoding sub-network of DCDAE，named deep convolutional measurement network （DCMN），is used to compress the rolling bearing vibration signal instead of the traditional measurement matrix，and then the fault features are directly extracted in the compressed domain. The effectiveness of the proposed dataset construction method and the compressed domain feature extraction method are analyzed through the simulations. The rolling bearing experimental signals further verify that the deep convolutional measurement network trained by the proposed method has good generalization and can effectively extract fault features for fault diagnosis in the compressed domain with a compression ratio far lower than that of the traditional compressed sensing method.

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.

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.

In order to meet the requirements of high transmission efficiency and low noise in the planetary gear transmission system，the bending-torsion-shaft coupling power of helical planetary gear transmission system was established by employing the lumped parameter method，with considerations for eccentricity error and installation error. Using the fourth-order Runge-Kutta method to solve the dynamic equation，the dynamic characteristics of the planetary gear，such as the dynamic meshing force，dynamic transmission error，and dynamic load coefficient，were obtained. Based on this，the planetary gear modification research is carried out，and the tooth profile modification is established. Upon establishing the tooth surface equation and the dynamic equation that takes tooth surface modification into account，an analysis was conducted on the dynamic characteristics corresponding to varying degrees of modification. The research results show that with the increase of the modification amount，the dynamic meshing force，dynamic transmission error and dynamic load coefficient of the planetary gear all decrease to varying degrees，and then increase after reaching the lowest value. Performance testing of the entire machine revealed a reduction in vibration and noise of the planetary reducer，as well as an improvement in transmission performance providing theoretical support for the design of vibration reduction，noise reduction and transmission efficiency improvement of the planetary gear transmission system.