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[DOWNLOAD] "Continuous Systems" by Wayne Tustin, Deepak Jariwala & Jaime Boscá # eBook PDF Kindle ePub Free

Continuous Systems

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eBook details

  • Title: Continuous Systems
  • Author : Wayne Tustin, Deepak Jariwala & Jaime Boscá
  • Release Date : January 31, 2013
  • Genre: Engineering,Books,Professional & Technical,Education,
  • Pages : * pages
  • Size : 72705 KB

Description

Now you are ready to move beyond the Single Degree-of-Freedom (SDoF) system of ebooks 2 to 9, the simplest possible system, having one spring, one “solid body” mass and one damper. SDoF adequately represents some real but truly simple systems such as the “workings” of accelerometers, electrodynamic (ED) shakers, etc.


  Most vibration courses, at this point, move to Multi Degree-of-Freedom systems (MDoF), having two or more springs, masses and dampers, and adequately representing relatively simple systems with a few natural frequencies.


  Let us skip over MDoF systems and instead move to truly complex systems, which better represent “real world” mechanical systems. Now you will learn that the properties of mass, springiness and damping are distributed, rather than concentrated, behaving more like the electrical engineer’s antennas, waveguides, etc., rather than behaving like the obvious “lumped constant” capacitors, inductors and resistors sometimes used.


  Perhaps an example cantilever will aid our discussion. Obtain a metallic bar or scrap of sheet metal, perhaps 1/16” or 1.5 mm thick, 1/2” or 10 mm wide and 6” or 150 mm long. Examine it. You still have the properties of mass, springiness and damping or friction, but now they are distributed, rather than concentrated.


Convert that beam into a cantilever. Clamp one end to a table and pluck the free end. Observe that the cantilever beam has at least one natural frequency, at which it “likes” to vibrate. The beam moves through a succession of positions much like the positions shown in Animation 10.1.1. If you had a “strobe” light flashing at nearly the same frequency as your beam vibrates, it would appear to slow the action, as in the animation. You are exciting the first (of several) bending modes.





10.1 The Continuous System Model



10.2 Calculating first bending fn



10.3 Effect of damping



10.4 Identifying natural frequencies



10.5 Superposition



10.6 Beams and plates



10.7 Printed wiring cards



10.8 Plate damping



10.9 Force measurements



10.10 Units of force



10.11 Dynamic ratios



10.12 More damping applications



10.13 Phase changes



10.14 Active shape control



10.15 Fatigue failures



10.16 Axial resonances


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