The chapter is devoted to taking into account the design features of technical objects, the design schemes of which are mechanical oscillatory systems. General approaches to the construction of mathematical models of the rotating type and their dynamic properties are considered. The concepts of rotational-type systems with a massless rod with an intermediate fulcrum are detailed. A comparative analysis of the capabilities of vibration protection systems has been carried out. The analysis of systems with a protective object performing rotational movements is carried out, taking into account the discrepancy between the center of gravity and the center of rotation. The displacement of the center of gravity in a system with a lever of the first kind is considered.
TopAccounting For Constructive And Engineering Features Of Objects
In many problems of the dynamics of machines and, in particular, the applied theory of vibration protection systems, the simplest basic models are usually represented by a mechanical oscillatory system with one degree of freedom; at the same time the object performs rectilinear small vertical oscillations. The object can be connected to the supporting surface with the help of connecting elements in the form of springs and dampers. The support surface for the object of protection can be represented by zones for contacts Ι and II (Figure 1), and the object of protection itself can have guides that provide vertical motion III (or motion along the same coordinate у).
Figure 1.
Basic computational scheme of vibration protection system with one degree of freedom
In the structure of the computational scheme (Figure 1), the elements have stiffnesses k and k1; dissipative interactions are reduced to equivalent viscous friction dampers with coefficients b and b1. In addition, in Figure 1 motion transformation devices are introduced into the system (Khomenko et al., 2013b).
Such devices can have various constructive and engineering forms, and their properties are reflected by the parameters L and L1, determining efforts emerging at relative accelerations of the motion of elements.