Reliability design requirements for large and complex equipment pose new challenges to numerical simulation of structural dynamics. In this paper, based on self-developed parallel computing platform PANDA, the modal superposition method is used to calculate the random vibration response under multi-point foundation excitation. The algorithm design and parallel implementation are carried out, and the corresponding solving module is constructed. Taking the six-degree-of-freedom platform structure in the target positioning prototype of Shenguang facility as a numerical example, the modal and random vibration responses of the structure under ground fluctuating load are analyzed with our self-developed progress modules in PANDA platform. The analysis results are compared with the test results and commercial software analysis results. In terms of mode frequency, mode shape and displacement response, the results are consistent, which verifies the correctness of the relevant software and proves the feasibility of PANDA platform in actual engineering structural analysis. The correlative studies have important significance on solving dynamic analysis problems of complex equipments with autonomic software and breaking limitations of commercial finite element software.