PPT-Pg. 298 – Damping Underdamping

Overdamping Critical damping reaches equilibrium in shortest time possible See examples at bottom of page 116 Forced Vibrations Resonance Objects have a natural frequency f 0 due to properties of that object. Response to Damping As we saw the unfor ced damped harmonic oscillator has equation 0 1 with 0 0 and 0 It has characteristic equation 2 0 with characteristic oots 2 2 Ther e ar e thr ee cases depending on the sign of the expr ession u Natural frequency and damping ratio Well consider the second order homogeneous linear constant coe57358 cient ODE bx cx with positive spring constantmass In the absence of damping term this spring constant wo 1 have all its solutions tending to zero as tends to in64257nity in a manner similar to that depicted in Fig1 872215 87221 872205 05 15 y e 8722t cos t Underdamping Figure 1 Underdamping Solution The auxiliary polynomial of equation 11 is 945r 1 0 General . L. inear . B. eam Dynamics. S. Guiducci, INFN-LNF. Seventh International Accelerator School for Linear Colliders . Hosted by Raja . Ramanna. Centre for Advanced Technology. 4 December 2012. DRIVER VARIATIONS:The larger the driver the more import electrical damping is. Low frequency drivers andsubwoofers have the most problems regarding damping. Their moving mass is quite high andtheir su G. Dugan. PAC TDR review . 12/13/12. Dec. 13, 2012. ILC Damping Rings. 1. Outline. Requirements. Configuration, parameters, operating modes. Lattice. Beam dynamics issues. Emittance. tuning and nonlinear effects. DAMPING TORQUE. Air Friction . Damping. Fluid Friction . Damping. Eddy Current . Damping. Electromagnetic . Damping. K-12EL-09. K-12EL-57. Super vision By:. Sir . Sajid. . Hussain. . Qazi. The damping force ensures. Equation of motion. resistance force is proportional to speed : . For convenience: . Also,. . k=m. w. 0. 2. Trial solution . Underdamped. Two solutions with . The real solution . of equation of motion . Good Vibrations:. Standing waves can be produced on a string fixed at both ends if the length of the string . L. is a multiple of half the wavelength . l. ,. so that the ends of the string are nodes. These waves are called “harmonics” and are identified by “. . is a dissipation . of. . energy from a vibrating structure. .. The . term dissipate is used to . mean. . the transformation of . mechanical. . energy into other form of energy and, therefore, a removal . 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.. (Supplemental to . LHO aLOG 6392. ). J. Kissel. G1300561-v1. 1. G1300537-v2. 2. aLIGO BSFM "Level 2" Damping Loop Design. Mission Statement. The damping loops installed during the SUS testing phase . ee. studies. Leon van Riesen-Haupt. Many thanks to Rogelio Tomas, Helmut Burkhardt, Katsunobu Oide . Updates From Last Presentation. Amplitude detuning from tracking. MADX PTC and SAD. Initially bad agreement. CERN, Rostock University. Oct 10, 2019. 1. Z. W. H. Energy [GeV]. 45.6. 80. 120. 182.5. Bunches / beam, . 16640. 2000. 393. 48. Beam. current, . [mA]. 1390. . 147. 29. 5.4. RF Voltage [GV]. 0.1 . 0.44.