Method of Static Characteristics Calculation of Adjustable Two-Ring Type Full-Metal Vibroinsulators in a Non-Linear Approach

Abstract

Full-metal vibroinsulators with circular elements are widely spread and effectively reduce a harmful impact of vibration in mechanical systems. However, in a contemporary literature an issue of a regulation of that kind of vibroinsulators and their study, considering non-linearity of the characteristics, is addressed insufficiently. In the presented study by a joint implementation of Mohr's method and finite element method the method of a calculation of loading characteristics of adjustable full-metal vibroinsulators with elastic elements in the form of an ellipse and a system of two ellipses was developed. Broad (in a few hundreds of times) capabilities to regulate their rigidity characteristics were demonstrated. The presence of zone of quasi-zero rigidity is detected. The method allows to accurately determine parameters of a vibroinsulator, which increases quality of final products.

Control of elastic-hysteretic characteristics of multilayer all-metal vibration insulators with structural damping

“…where is the angle between the horizontal axis and the site of the load curve which corresponds to the laminated multilayer beam; is the angle between the horizontal axis and the site of the load curve which corresponds to the delaminated multilayer beam; is the coefficient that depend on the boundary conditions of the displacement of the movable end of the multilayer beam; is the modulus of elasticity of material, N/m 2 ; = ( ℎ )/12 is the inertia moment of the transverse section of the layer in the multilayer package, m 4 ; is the length of the beam, m. The energy dissipation coefficient is determined as:…”

“…For this construction, the mathematic bilinear model of elastic-hysteresis loop was theoretically developed. As the authors note [1,2,[4][5][6][7], the hysteresis is a result of an instant change of the inertia moment of the cross section of the beam at the certain points where the beam is deformed. The changes of the inertia moment of the cross section of the beam are controlled by a distribution of tangential stresses on the height of the beam.…”