--%>
Assignment Help - homework help

Problem on degree of freedom

Draw a frequency-response curves for a damped single degree of freedom system subjected to a harmonic excitation under three different damping ratios. System has a natural frequency of ωn as the forcing frequency of the excitation is ω. Describe the relation of static and dynamic deformation responses for:
 
(i) ω/ωn << 1
(ii) ω/ωn >> 1
(iii) ω/ωn = 1

Also define whether the dynamic response is controlled by the mass, or stiffness or damping of the system for each and every case.

(b) The single degree of freedom building system is excited by a sinusoidal force as shown in figure below. Assume that the girder is rigid whereas the columns are flexible to the lateral deformation but rigid in the vertical direction. Use E = 30 GPa, I = 60 x 106 mm4 and 5 % damping and neglect the mass of columns. Find out
 
(i)  the steady state amplitude of vibration,
(ii)  the maximum shear force in the column,
(iii)  the maximum bending moment.

973_degree of freedom.jpg

   Related Questions in Mechanical Engineering

  • Q : Problem on Ideal gas process A) Air at

    A) Air at 4MPa and 3000C enters a will insulated turbine operating at steady state with negligible velocity. The air expands to an exit pressure of 100KPa. The exit velocity and temperature are 90 m/s and 1000C respectively. The diameter of the e

    		•
  • Q : Measuring the Temperature in Wet Bulb

    Explain phenomenon to measure the Temperature in Wet Bulb Thermometer?

    		•
  • Q : Problem related to pressure gauge Water

    Water flowing via the vertical pipe is illustrated below. Compute the required pipe diameter for the smaller pipe,‘d’,  given that the two pressure gauges read similar value.

    Q : Problem on flow rates Water flows at 40

    Water flows at 40 m/s from the jet of area of cross-section of 0.008 m2 on to a flat plate as shown in the figure. Determine the force F normal to the plate, and also the flow rates out of the plate.

    Q : Difference between projectile motion

    Difference between projectile motion and rocket motion:A projectile has no motor or rocket on it, therefore all of its momentum is provided to it as it is launched. An illustration of a projectile would be pen which you throw across a room.

    		•
  • Q : Value Engineering The value engineering

    The value engineering method focuses on functional values, and aims to increase the difference between the cost and value of a product: by lowering cost and/or adding value. In many cases, the emphasis is simply on reducing costs, and the design effor

    		•
  • Q : Mechanical Systems Reliability -

    Mechanical Systems Reliability, MP3701 Your assignment must be submitted electronically via eLe

    		•
  • Q : Mode Superposition Method Define Mode

    Define Mode Superposition Method in brief?

    		•
  • Q : Bearing number ti Diameter of inner and

    Specify how the Bearing number ti Diameter of the inner and outer can be calculated?

    		•
  • Q : Explain steam turbine diaphragm Steam

    Steam turbine diaphragm: Steam turbine includes of phases, number and size of the phases depends on the break horse-power of the turbine. The phase has set of moving and fixed blades. Moving blades are joined to th

    		•