The paper is devoted to the development of new method for testing of products and machine units on vibration strength and durability. In order to approach the excited vibration spectrum to the real operation conditions, it is proposed to realize chaotic oscillations in testing machine. Vibration test bench is considered as 1DOF oscillatory system with bilinear elastic characteristic. Chaotic motions in this system under the harmonic excitation are analyzed with the aid of computer program SPRING. Conditions for existence of globally stable chaotic attractors in the space of system‘s parameters are determined. Guidelines for practical realization of theoretical results are given.