By changing the structure and parameters, the rectangular air spring can have an ideal ratio of vertical stiffness to lateral stiffness, which can satisfy the engineering requirements. Considering the nonlinearity of the rubber-cord composite material, the geometric nonlinear process caused by large deformation and the contact between the rigid base plate and the flexible capsule, a finite element model for the rectangular air spring was established, its vertical stiffness and lateral stiffness were calculated and their characteristic curves with different initial gas pressures, gas volumes, cord angles and number of cord layers were plotted. The influence of these factors on the air spring’s stiffness was analyzed. Finally, the reliability of the results of the finite element analysis was proved by the experimental testing.

The parameters of rubber model is usually obtained through a series of test of standard specimen. In the case of absent of standard specimen, it is significant in engineering application to reversely deduce the parameters of the material model with a few of information of the rubber isolator. In this paper, a new reverse deduction method based on the two material parameters in Mooney-Revlin model is proposed, with the consideration of the relationship between the two parameters C1 and C2, and hardness, and of the effect of C1 and C2 on the static characteristics of the rubber isolator. The MATLAB and ANSYS codes are applied to forecast the parameters. First of all, the value of C1+C2 is calculated under the condition of small displacement, and then the value of C2/C1 is obtained under the condition of large displacement. The material’s property of the rubber isolator is inversely designed. In order to verify the effectiveness of this method, the finite element model of a kind of rubber isolators is built, and the parameters are calculated based on the static compression characteristics. The effectiveness of the reverse deduction method is validated.

An actual hybrid vibration isolation system usually consists of a rigid vibration source, a flexible base, an isolator and an actuator. It is a complex rigid-flexible coupled system with infinite dimensions. To obtain an accurate model and design the controller expediently, the hybrid vibration isolation system with flexible base is modeled based on the substructure modal synthesis method. The availability of this modeling method is proved in comparison with the FEM model built by ANSYS. Then, a hybrid vibration isolation control system is designed, simulated and analyzed based on the modified independent-modal space-control method. The results show that the vibration of the base is reduced effectively by the hybrid vibration isolation system, and the isolation effect is better than that of the passive vibration isolation system.

Usually, the stiffness of the conventional isolator is small because the performance of vibration isolation is preferential to that of shock isolation. This leads to high efficiency of shock isolation but large relative displacement. Moreover, the stiffness break is induced by the displacement restrictor, and the efficiency of shock isolation is deteriorated. Based on the law of conservation of energy, the conventional shock isolator and the Ruzicka isolator is modeled and analyzed, and the cushioning coefficients are obtained. Comparison shows that the Ruzicka isolator has more excellent performance than that of the conventional isolator. The shock isolation system with the Ruzicka isolator is changed to the dimensionless form with an acceleration pulse input of half sine shape. The shock response is calculated, and the parameters with high efficiency of shock isolation are obtained. The shock response shows that the maximal acceleration and relative displacement are restricted below the limit value by the Ruzicka isolator when the conventional design fails to protect the object.

In this paper, the method of model reference adaptive control based on hybrid vibration isolation system is proposed, and the adaptive control scheme of the hybrid vibration isolation system of submarine’s power device is designed. An example of numerical simulation of the system is given. The simulation results show that the model reference adaptive control of hybrid vibration isolation system can effectively overcome the deficiency of passive vibration isolation system of submarine’s power device.

A new method that can apply DDAM to nonlinear stiffness system is put forward in the paper, an equivalent linear stiffness model with displacement restrictor is constructed, and the optimal scheme is designed. Pareto setting is obtained by finite element method and genetic algorithm, this pareto setting would be an excellent reference for engineering application. This design mode would assure excellent vibration and shock isolation at the same time, that is significative for vibration and shock isolation of onboard settings.