E. Hofelich-Abate and F. Hofelich, "Phenomenological theory of damped and undamped intensity oscillations in lasers," Zeitschrift fur Physik, vol. 221, no. 4, pp. 362-378, 1969.E. Hofelich-Abate and F. Hofelich, "Phenomenological theory of damped and undamped intensity oscillations in ...
If there is no friction at the gimbal axes, equations (1) define a free, undamped oscillation in which the rotor axis performs a conical whirl about its central position and the gimbals vibrate at frequency p = Cn /√ AB .doi:10.1038/190710a0R. PARKS...
The mathematical pendulum is used to provide a survey of free and forced oscillations in damped and undamped systems. This simple model is employed to pres... AH Nayfeh,DT Mook,P Holmes - 《Physics Today》 被引量: 1219发表: 1980年 Accurate higher-order analytical approximate solutions to non...
A classical method for obtaining the exact natural frequencies, natural modes, orthogonality relation and response due to arbitrary loading of undamped beamoscillator systems presented earlier by the writers is extended to viscously damped plateoscillator systems. The natural modes are expressed in terms...
As the damping increases, the difference between the damped natural frequency and the undamped natural frequency increases, and the damped response depart more and more from the undamped response. When damping exceeds the critical damping (over-damped case, ζ > 1), the damped response is no lon...
general proportional damping that satisfies the condition [C][M]− 1[K] = [K][M]− 1[C]; and (iii) nonproportionally damped systems, for which [C][M]− 1[K] ≠ [K][M]− 1[C]. The eigenvectors of an undamped or proportionally damped system are real; the eigenvectors of...
12.This may be damped or undamped forced notion. 它可以是阻尼强迫运动或非阻尼强迫运动. 13.The entire spending boost could go on wage demands unless expectations are damped down. 除非降低预期,否则整个支出增长计划可能会导致加薪要求。 14.Praed: (much damped) Lord bless me! That's a very prac...
The exact solution to the undamped Duffing equation is given by (41) where (42) Then, (43) Let us replace α with α − 2ρε + ρ2 and c0 with c0exp(−ρt) so that (44) For the damped Duffing equation we will define the solution in the form: (45) The constan...
In summary, the conversation discusses finding the curve of the amplitude of oscillations for a damped spring with the given initial value problem. The general solution is a combination of a cosine and sine term, and the technique for finding the amplitude involves using a trigonometric identity ...
For damped forced vibrations, three different frequencies have to be distinguished: the undamped natural frequency, ωn=Kgc/M; the damped natural frequency, q=Kgc/M−(cgc/2M)2; and the frequency of maximum forced amplitude, sometimes referred to as the resonant frequency. Show moreView chapter...