By A.J Pretlove (Auth.)
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Extra resources for Basic Mechanical Vibrations
Use the program also to solve the following special case. 2 kgm. The whole machine is spring mounted and without damping. The force transmitted to the foundation has a magnitude of one-fifth ofthat of the exciting force when the shaft is rotating at 3000 rev/min. Use this information to find the stiffness of the spring mount. Use the program to determine whether the force transmitted to ground will exceed 10 kN in the shaft speed range 1000 rev/min to 3000 rev/min and, if so, for what part of the range.
4) An accelerometer is modelled as a simple system with damping subject to earth motion. The earth motion to be measured contains a mixture of frequencies below the resonance frequency of the accelerometer. 18)), and the frequency, as follows Τ = φ/ω If the waveform of the acceleration is to be preserved in the measurement, each Fourier component should be subject to the same time delay. Write a computer program to calculate Tin the frequency range 0 < ω < ωη for a series of fixed values for £, the damping ratio.
4,0 is on the straight dotted line joining the bearing centres and is at the geometric centre of the disc when it is stationary. A is the deflected position of the geometric centre when the disc is rotating with OA = r. G is the centre of gravity of the disc with AG = e. 4 A simple shaft-disc system in whirl 42 Simple systems with damping restoring force is due to r alone. 34) shows the elastic divergence of lateral deflection r which has been described above. The inclusion of damping complicates the analysis (see ref.