Abstract <p>An approach is proposed for simulating and evaluating the parameters of thin-walled elastic open shells and plates under postbuckling in large. A finite element model of the longitudinal bending of such a plate with fluted section is considered. A quasi-zero stiffness effect of the plate is numerically modeled. And then an effectiveness of this plate as an elastic element for a vibration isolating mechanism is performed. The validation of the finite element model and an assessment of control possibility the quasi-zero stiffness of the plates were performed by comparison of the results of analytical modeling and physical experiment. The results demonstrate a possibility for a widespread use of such elastic elements in vibration isoltuion systems for the ground and airborne equipment..</p>