Nonlinear Dynamics of Active and Passive Systems of Vibration Protection

Explicit asymptotic solutions for a class of weak-noise escape problems

“…The ground acceleration a(t) is approximated as white-noise process a(t) = εσẇ(t). Kinetic, potential and total energy of the system are, respectively As shown in [16], the separate control for each structural element is more effective than control of the structure as a whole. We use separate active dampers producing the counteracting forces u i = β 0 f (H )q i (Fig.…”

Vibration Protection of Critical Components of Electronic Equipment in Harsh Environmental Conditions

“…The numerical procedure, which is based on equations (1-8) and (16), is than applied. Figure 6 shows the superimposed dependencies of the r.m.s.…”

“…This is, mainly, because the electronic device with sensitive internal components is not a traditional subject of vibration protection (six-degree-of-freedom flexurally suspended solid body). The apparent drawback of the above traditional approach is that when analysis of the isolation system is carried out, it is normally the dynamics of the internal sensitive components that is ignored and the dynamic response of the enclosure alone that is optimized [1][2][3][10][11][12]16,17, see also ''Vibration and Shock Theory'' by Lord Corporation } ]. Such a concept absolutely misses the purpose of using isolators, which should be, in reality, the protection of the sensitive internal components from developing excessive dynamic responses.…”

Two-stop-two-slip motions of a dry friction oscillator

“…Den Hartog gave an exact solution for the symmetric steady state motions of such a system in 1931 [1]. Many scholars, such as Makris [2], Hundal [3], Pierre [4], Nayfeh [5], and Kolovsky [6], have studied the system. Hong [7] also gave the exact solution of pure slip motions and many numerical simulations for stick-slip motions.…”