--%>
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 : Mechanical design for manufacturing A

    A stone quarry in a remote part of the world requires that stone blocks of 3 cubic feet in volume be moved up a 50 ft long ramp which is inclined at 30 degrees. Since the location is remote, the blocks must be moved usng human power. On a continuous basis, human power

    		•
  • Q : Ergonomics in product design

    Ergonomics: This is concerned with how easy (comfort, complexity) the product is to use by the targeted market. Physical human dimensions must be considered when designing the driver's seating, instruments, and controls in a car. Slight variations bet

    		•
  • 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 : Anti-Friction and Journal Bearing

    Explain difference between the Anti-Friction Bearing and the Journal Bearing?

    		•
  • Q : High Discharge pump Why Centrifugal

    Why Centrifugal Pump is known as the High Discharge pump?

    		•
  • Q : Welding rod 7018 State abbreviation of

    State abbreviation of the welding rod 7018?

    		•
  • Q : What is machine shop Machine shop : A

    Machine shop: A facility which employs machines to fabricate devices from stock raw materials or to change mechanisms based on given specifications. Also termed as "Back" Shops. The general machines in a machine sh

    		•
  • Q : Working environment in Product design

    Working environment: The conditions under which the product is likely to be used, stored, and transported must be specified. The product may have to operate in conditions of extreme temperature, be subject to vibration, radiation; these conditions wil

    		•
  • Q : Bearing number ti Diameter of inner and

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

    		•
  • Q : Radial bearings Explain the importance

    Explain the importance to remember about the radial bearings?

    		•