--%>
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 : Difference between PLC and Logic Card

    Difference between PLC and Logic Card: There is technically no difference. Both are logic controller utilized for several applications and in PLC has it's own internal memory (compared to Logic card).

  • Q : Numerically controlled Mechatronics

    What do you mean by Numerically controlled Mechatronics and what are its components?

    		•
  • 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 : Mechatronics Define the tem

    Define the tem Mechatronics and what are its elements?

    		•
  • Q : MECHANICAL ENGINEERING DESIGN KINDLY

    KINDLY SEND ME MATERIAL ON "MULTISTAGE SPUR GEAR DESIGN OPTIMISATION USING RAY DIAGRAMS"

    		•
  • Q : Difference between pressure vessel &

    Difference between pressure vessel & column: The Pressure vessels (cylinder or tank) are utilized to store fluids under pressure. If the pressure vessel are design in the form of column to separate the gas at u

    		•
  • Q : Sources of energy what are different

    what are different alternate sources of energy

    		•
  • Q : Centrifugal Pump and Reciprocating Pump

    Out of Centrifugal Pump or the Reciprocating Pump, which pump is more efficient?

    		•
  • Q : Problem on pressure rise of a water tank

    The water level in a tank is about 20 m above the ground. A hose is joined to the bottom of the tank, and the nozzle in the end of the hose is pointed to straight up. The tank is at sea level, and the water surface is open to the environment. In the line leading from

    		•
  • Q : Problem on magnitude of force A

    A horizontal pipe of dimension 540 mm diameter carrying 0.6 m3/s splits into two horizontal pipes of 300 mm diameter with 60% of the flow and another of 150 mm diameter with 40% of the flow. Find out the magnitude and direction of the force