By Hans Dresig, Franz Holzweißig
Dynamic lots and undesired oscillations raise with larger pace of machines. whilst, business security criteria require larger vibration relief.
This e-book covers version iteration, parameter identity, balancing of mechanisms, torsional and bending vibrations, vibration isolation, and the dynamic habit of drives and computing device frames as complicated systems.
Typical dynamic results, corresponding to the gyroscopic impact, damping and absorption, shocks, resonances of upper order, nonlinear and self-excited vibrations are defined utilizing useful examples. those comprise manipulators, flywheels, gears, mechanisms, cars, rotors, hammers, block foundations, presses, excessive velocity spindles, cranes, and belts. a variety of layout positive aspects, which impression the dynamic habit, are described.
The ebook contains 60 workouts with certain ideas.
The big advantage of this "Dynamics of equipment" lies within the mix of thought and functional purposes and the various descriptive examples according to real-world information. T
the e-book addresses graduate scholars in addition to engineers.
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Extra info for Dynamics of Machinery: Theory and Applications
16c. 5. The rubber body must be firmly connected to metal parts, through which the forces enter and exit (these spring elements are called bound “rubber springs”). 3 Spring Characteristics 37 rubber elements. For pure shear loading, the static spring constants can be calculated using the methods of continuum mechanics based on Hooke’s law. For example, the following applies to a disk-type rubber spring (Fig. 16a): c= AG F = . 56) For a sleeve-type spring under torsional loading, Fig. 16b, the static torsional spring constant is: 4πlG Mt cT = = .
08)/f ; natural frequency f in Hz. 0003 . . 01! 0003 . . 01 . . 02 . . 01 . . 08 . . 12 Fig. 88) are often used for mutual comparison of the damping capacity of materials as shown, for example, in Fig. 24. By measuring the logarithmic decrement as a function of the stress amplitude, one can recognize that X20Cr13 steel has considerably better damping properties than K40NiMo6 steel, particularly when the load amplitude is large.
32) is simplified due to the symmetrical body: Jξη ηζ to cos γ1 = cos(π/2 − α1 ) = sin α1 to become ⎡ ⎢ ⎢ ⎢ ⎣ cos2 α1 sin2 α1 2 cos α1 sin α1 0 1 0 1 0 0 ⎤⎡ S Jξξ ⎤ ⎡ S J11 ⎤ ⎥⎢ ⎥ ⎢ ⎥ ⎥⎢ S ⎥ ⎢ S ⎥ ⎥ ⎢ Jζζ ⎥ = ⎢ J22 ⎥ . 65) It yields the solutions S S Jξξ = J33 ; S S Jζζ = J22 ; S Jξζ = S − J S cos2 α − J S sin2 α J11 1 1 33 22 . 66) A fourth experiment directly provides the principal moment of inertia from the torsional vibration about the η axis S S Jηη = JIII . 67). 34): S −J S Jξζ Jξξ S S −J Jξζ Jζζ cos α cos γ = 0 .