Dynamic Modes of One Seismic-Damping Mechanism with Frictional Bonds

Antonyuk, E. Ya.; Plakhtienko, N. P.

doi:10.1023/b:inam.0000041399.99257.b3

Cited by 15 publications

(1 citation statement)

References 8 publications

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“…As to reduce the structural displacement responses, the elliptical rolling rods [13] and the rolling-spring device [14] were, respectively, used to support the building structures. Antonyuk and Plakhtienko [15] isolated buildings by combining the rolling and unilateral sliding frictions. A bearing using selfcentering and supplemental energy dissipation friction devices was proposed to isolate the highway bridges under earthquakes [16,17].…”

Section: Introductionmentioning

confidence: 99%

Parameter Optimization of a Vertical Spring‐Viscous Damper‐Coulomb Friction System

Wei

Zhuo

et al. 2019

Shock and Vibration

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A vertical spring-viscous damper-concave Coulomb friction isolation system was firstly proposed, and their parameters were firstly optimized to achieve the best performance under earthquakes. An incremental dynamic analysis method (IDA) and a performance-based assessment framework were used to calculate the system and assess its seismic vulnerability, respectively. Results show that both the friction force and the horizontal component of spring force gradually increase when an earthquake enforce the isolator to slide from its central location. Although other papers propose that an increase of spring force and a decrease of friction force can reduce the structural residual displacement, this paper can minimize the residual displacement value to be 0 by using a super lubrication in the middle of contact surface and a variable increment ratio of concave friction distribution. The reason is that the horizontal component of spring force is always greater than the friction force within any relative displacement between the structure and the ground in this paper. As for the peak relative displacement and peak acceleration of structure, one is reduced while the other is increased when selecting the optimal isolation parameters. If the structure is very sensitive to the acceleration response, a low friction parameter, a small spring constant, and a small and even zero damping constant could be adopted to yield a small peak acceleration of system. The tightness of vertical spring can be adjusted to be appropriately loose to continuously reduce the structural acceleration response.

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Section: Introductionmentioning

confidence: 99%

Parameter Optimization of a Vertical Spring‐Viscous Damper‐Coulomb Friction System

Wei

Zhuo

et al. 2019

Shock and Vibration

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Dynamic Processes in a Spheroidal Seismic-Damping Mechanism

Antonyuk

Plakhtienko

2005

Int Appl Mech

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A mathematical model of a variable-structure system of solids with rolling friction and unilateral sliding friction bonds is described. The model can be applied to seismic isolation mechanisms. Conditions for transition between the possible structures of the equations of state are formulated. The behavior of the system with kinematically defined motion of the base is analyzed as an exampleMathematical models used to study the motion and loading of dynamic systems of various machines, transport robots, and mechanisms [5, 7-9] frequently disregard dissipative resistances due to rolling friction as well as sliding friction in the case of short-term break and recovery of frictional bonds. Such an approach allows us to simplify the mathematical model by eliminating imperfect constraints, which preserves the structure of the system and, hence, the order of the differential equations. However, this mathematical model is inapplicable to some real dynamic systems. For example, some design improvements in seismic isolation mechanisms of buildings [3, 10-12] may increase their rolling friction, which is important for effective damping of small vibrations. Such friction can be provided by filling base 1 (Fig. 1) and partially the spherical recess in body 2 with sand or by coating spheres 3 with rubber or plastic. Otherwise, it is necessary to use special dampers such as hydraulic shock absorbers. Figure 1 shows a design model of the system of interacting bodies described in [6]. It can be used, for example, in seismic isolation mechanisms of buildings [3,4,12]. Body 2 can only translate, since it bears with its spherical recesses upon identical spherical bodies 3. These balls roll over the flat surface of base 1 oscillating along the Ox-axis. Since balls 3 are identical in size and in position relative to body 2, it is enough to consider only one of them.The translational acceleration of base 1 may cause several modes of motion [6] of the variable-structure system [1] under consideration. The mathematical descriptions of these modes differ by the form and number of equations. Since there are unilateral frictional bonds, 1-3 and 2-3, between bodies 1 and 3 and bodies 2 and 3, respectively, the constraint forces acting between the contacting bodies have to be introduced into the system of equations [1].Ball 3 is subject to normal forces N 1 and N 2 , frictional forces F 1 and F 2 perpendicular to them, and moments of rolling frictional forces M 13 and M 23 exerted by bodies 1 and 2,

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On models of dynamic systems with dry friction

Antonyuk

2007

Int Appl Mech

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An approach to the design of models of dynamical systems with high dry friction in the kinematic pair is developed. The members of the kinematic pair are represented by parts of rigid bodies. The system as a whole is considered to have a variable structure. According to this assumption, two modes of motion with different dissipative characteristics are possible. The states in which the modes exchange and the motion switches over into critical modes with dynamic self-locking are established. A system with a variable transfer function between members that form a nonideal constraint is described Introduction. Dry or mixed friction is to some extent manifested in movable joints (kinematic pairs) of real mechanisms. However, these forces are in most cases low in magnitude and have an insignificant effect on the motion and loading of mechanical systems. There are mechanisms in which the influence of forces of friction is significant or even governing. These are, for example, self-locking mechanisms: wedge (Fig. 1a), worm, screw, some differential, planetary, geared linkage, differential cam, link, and other mechanisms [2,6,8,10]. The fundamental feature of self-locking mechanisms is that the driving and driven members cannot exchange their functions-such mechanisms can be set in motion by applying a force to the driving member, whereas any force acting on the driven member does not activate the mechanism [1]. There are critical values of the geometrical, inertial, and energy parameters at which such mechanisms (even with a one-degree-of-freedom kinematic pair) exhibit paradoxical behavior first described in [9] in 1895 and known as Painlevé paradoxes. Later, prominent scientists of the day (Prandtl, Lecornu, de Sparre, Klein, Hamel, etc.) resolved these paradoxes by showing that in some cases it is necessary to take into account elastic strains in contacting solids [9, Discussion] or to use intermediate, rather than limiting, values of the coefficient of sliding friction [3,9], according to the essence of the dynamic process. The heightened interest to models with friction is objective [13,16] and, in particular, associated with the design of seismic isolation systems for buildings [11,12,14,15], one such system shown in Fig. 1c. The transfer function u ba of this mechanism (ratio of the velocities of its members: foundation (a) and building (b)) is a variable function of their relative position, and self-locking may occur in some range of generalized coordinates. A similar behavior is typical of many other (cam (Fig. 1b), link, etc.) mechanisms [4,6].This paper develops a mathematical model of two-or three-link mechanisms with a nonideal holonomic constraint, gives the main relations for mechanisms with a nonlinear transfer function u q ba a 1063-7095/07/4305-0554

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Dynamic Modes of One Seismic-Damping Mechanism with Frictional Bonds

Cited by 15 publications

References 8 publications

Parameter Optimization of a Vertical Spring‐Viscous Damper‐Coulomb Friction System

Parameter Optimization of a Vertical Spring‐Viscous Damper‐Coulomb Friction System

Dynamic Processes in a Spheroidal Seismic-Damping Mechanism

On models of dynamic systems with dry friction

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