Assuming that it does not bounce on contact, determine the maximum deformation of the packaging within the box and the maximum acceleration of the instrument. The diver oscillates at a frequency of 2 Hz. What is the flexural rigidity EI of the diving board? Substituting this solution into Eq. Evaluate Eq. The lateral stiffness of the modified system is double that of the original system. Under the lb weight of the car, the suspension system deflects 2 in. The suspension is designed to be critically damped.
In this test, the mass is displaced 1 in. At the end of 20 complete cycles, the time is 3 sec and the amplitude is 0. Determine the stiffness and damping coefficients. The vertical deflection of the supporting system under the weight of the machine is measured as 0. The dampers are designed to reduce the amplitude of vertical vibration to one-eighth of the initial amplitude after two complete cycles of free vibration.
Find the following properties of the system: a undamped natural frequency, b damping ratio, and c damped natural frequency. Comment on the effect of damping on the natural frequency. How far to the right will the slab move? What is the maximum displacement of the slab on its return swing to the left?
If this system is given an initial displacement of 2 in. In how many cycles will the system come to rest? The displacement amplitude after 6 cycles is 2. Motion stops at the end of the half cycle for which the displacement amplitude is less than uF. Displacement amplitude at the end of the 7th cycle is 0. Determine the weight of the table.
Taking the ratio of Eq. Determine the lateral stiffness of the table. Substitute for m in Eq. All rights reserved. This publication is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise.
Determine the natural frequency. Determine initial deflection. Determine free vibration. Set up equation of motion. Solve equation of motion. Determine deformation and velocity at impact. Compute the maximum deformation.
Compute the maximum acceleration. Substituting this solution into Eq. Evaluate Eq. Determine stiffness coefficient. Determine damping coefficient. Determine buckling load.
Draw free-body diagram and set up equilibrium equation. Compute natural frequency. The displacement amplitude after 6 cycles is 2. Displacement amplitude at the end of the 7th cycle is 0. Therefore, the motion stops after 8 cycles. Carla Vasquez Dec. No problem. Total views. You just clipped your first slide! Clipping is a handy way to collect important slides you want to go back to later. Now customize the name of a clipboard to store your clips. Visibility Others can see my Clipboard.
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