PPT-Damped Oscillations

1 Forced oscillator with damping resistance force is proportional to speed Equation of motion 2 In complex method For convenience Also km w 0 2 3 Solution of damped harmonic motion. Buss Department of Mathematics University of California San Diego La Jolla CA 920930112 sbussmathucsdedu October 7 2009 Note This is an introduction that was originally written for a paper by Buss and Kim 7 but was subsequently separated out This re Lecture 22 Phase and Phasor representation Objectives In this lecture you will learn the following Phase between excitation and response Phasor analysis of resonance behaviour So far we focussed our attention on the amplitude of vibration and let u autocatalytic production of X. negative feedback. Skeleton. model. X = HBrO. 2. ,. Y = Br. -. ,. Z = Ce(IV),. A = BrO. 3. -. B = organic substrate. P = HOBr. Rate constants. depend on acidity.. Stable steady state, Oscillations (Hopf bifurcation), and excitability in the Oregonator model. An . inhomogeneous model . (IM) of rat thick ascending limb (TAL) is used to predict dynamic behaviors of the . tubuloglomerular. feedback (TGF) loop and to explain the experimental data from hypertensive rats [5], which have shown that TGF system may exhibit irregular oscillations with characteristics of deterministic chaos (Fig. 1, B and C).. and. Resonance. Lecture 3. Pre-reading. : . §14.5–14.8. SHM: Vertical Springs. IMPORTANT: Set up coordinate system!!. Motion of vertical spring . is. described by simple harmonic motion with. ω = √(k/m). models of the Moon. T.V. . Gudkova. . S. . Raevskiy. Schmidt Institute of Physics of the Earth RAS. Seismic lunar models. I/MR. 2. =0.3931. ±0.0002 . “Lunar Prospector” (Konopliv et al., 1998). and . accuracy. in. stellar. oscillations . modeling. Marc-Antoine . Dupret. , . R. . Scuflaire. , M. . Godart. , R.-M. . Ouazzani. , …. 11 June 2014. ESTER workshop, Toulouse. 1. 11 June 2014. ESTER workshop, Toulouse. Typically, harmonic motion decreases in amplitude with time….this realistic model describes damped harmonic motion.. The damping effect is a result of friction and internal resistance of the system to further motion.. Chapter. 31. Copyright © 2014 John Wiley & Sons, Inc. All rights reserved.. 31-1. Electromagnetic . Oscillations. 31.01 . Sketch an LC oscillator and explain which quantities oscillate and what constitutes one period of the oscillation.. Please pick the Learning Outcomes from the front of the room. Take a moment to review the Learning Outcomes. A Couple Things…. This is an EXTREMELY . quick. and somewhat . easy. unit (3 classes). Describe . examples of damped oscillations.. . Need to know. - It is sufficient for students to know that damping involves a force that is always in the opposite direction to the direction of motion of the oscillating particle and that the force is a dissipative force.. . Waves. Term . D 2009. Frank Dick. 508-831-6766. fdick@wpi.edu. www.wpi.edu/Academics/Depts/Physics/Courses/ph1140d09. Oscillations. and . Waves. Oscs. &. Wavs. . OS. WAs. I signed up for a course on . . Waves. Term B 2008. Frank Dick. 508-831-6766. fdick@wpi.edu. www.wpi.edu/Academics/Depts/Physics/Courses/ph1140b08. Oscillations. and . Waves. Oscs. &. Wavs. . OS. WAs. I signed up for a course on . Third exam will cover chapters 11-15.. Damped . simple harmonic oscillator (15-5). Forced oscillations and resonance . (. 15-6). When you start an oscillator in motion, it eventually stops because it dissipates energy..