Abstract: In order to research the dynamic response of old launching equipment to prepared launching site subjected to loading, the loading is regarded as multi-circle distributed force, and the expression of force is derived based on Hertz contact theory. Based on the governing differential equation of Winkler foundation model, the differential equations of two-layer plate are improved by adding the subgrade reaction into the two-parameter foundation model. Then the expression of launching site deflection under single-circle distributed force is deduced by using Fourier integral transformation and triangular series methods. The analysis formula of settlement under multi-circle distributed force could be got by using linear superposition method. For the sake of settlement of launching site, a co-simulation dynamic model of launching equipment including site is built by ADAMS software and Simulink software. Analysis results of the settlement of circle center in every contact area show that the settlement of contact area at the base is larger and has great impact on the deflections of the latter two contact areas of support disk, the settlement interact between support disks should be ignored because of small order magnitude.

Key words: ordnance science and technology, launching equipment, multi-circle distributed dynamic force, two-layer plate model on two-parameter foundation, co-simulation, settlement of launching site