--%>
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 : Calculating liquid composition There

    There is a 35% MeOH/water mix to feed to a flash at 100 Ib- mole /hr and 1 atm. We want a vapour composition of 60 % MeOH. What does the vapour flow rate need to be? What is the liquid composition? Give the equation of the operation line?

    Q : Problem on damping coefficient Vertical

    Vertical suspension system of a car can be modeled as single degree of the freedom system. Consider that the car with mass m consists of four shock absorbers with equal stiffness and damping of k and c, corresspondingly: (a) Due to

    		•
  • Q : How do you repair a hydraulic jack How

    How do you repair a hydraulic jack?

    		•
  • Q : Difference between mill and mill-drill

    Difference between mill and mill-drill: Nowadays numerous manufactures are combining machines; a mill-drill is one of such. This is a combination of a drill and a mill, a mill eliminates stock from material (genera

    		•
  • Q : Efficient design What is meant by ‘

    What is meant by ‘efficient design’? Explain.

    		•
  • Q : Problem related to the value of the

    Water flows via a pipe of about 300 mm diameter at the rate of 66 L/s. Evaluate the value of the manometer reading, ‘h’. The Specific gravity of manometer liquid is taken as 0.8.  

  • Q : Maintenance in Product design

    Maintenance: How frequently and easily the product is to be maintained must be specified. A photocopier shouldn't require a service call from a technician just to add toner. If the product is to be maintenance free, then costs may be increased due to

    		•
  • Q : Radial bearings Explain the importance

    Explain the importance to remember about the radial bearings?

    		•
  • Q : Poissons Ratio Out of

    Out of Rubber/Steel/Wood, which have higher Poissons Ratio?

    		•
  • Q : Laws of Thermodynamics Describe all the

    Describe all the laws of the Thermodynamics?

    		•