--%>

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 : Arena Are you able to assist with these

    Are you able to assist with these two assignments in Arena simulation below? You can use the Basic Process instead of Blocks and Elements. An office of state license bureau has two types of arrivals. Individuals interested in purchasing new plates are characterized to have inter-arrival times dis

  • 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 : 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 : Rated Speed and Economic Speed Explain

    Explain difference between the Rated Speed and Economic Speed?

  • Q : Product appearance in Product design

    Product appearance: Strongly influenced by the Industrial Designer, the general style? of the product is significant as this will have an influence on materials and manufacturing procedures to be used. The product should be able to grab the customer's

  • Q : Advantages and disadvantages of using

    Explain advantages and disadvantages of using the LPG in Car?

  • Q : High Discharge pump Why Centrifugal

    Why Centrifugal Pump is known as the High Discharge pump?

  • Q : Problem on discharge head loss Water is

    Water is draining from the tank A to tank B. The elevation difference among the two tanks is 10 m. The pipe joining the two tanks has a sudden-expansion section as shown below. The cross-sectional area of the pipe from A is 8 cm2, and the area of the pipe f

  • Q : Convection Heat Transfer Please Solve

    Please Solve this problem Step by step, and the question is in the images.

  • 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