It is proposed an overview of newest scientific developments - the algorithms, methods, software and its practical applications that are developed in Machine and Mechanism Dynamics Research Laboratory of Riga Technical University. The processor speed for the case of simulation of dynamics of the Shuttle spaceship is compared for different software tools based on developed methods. The computer design and processing methods are considered to get high quality metamodels from the little number of experiments. Developed software are used for improvement of the equipment for production of the building items by opposite vibroimpact technology as well as for optimization of the shock absorbing devices of the railway rolling stock.