No. of Pages: 3
AP] ABDUL KALAM TECHNOLOGICAL UNIVERSITY

FIRST SEMESTER M.TECH. DEGREE EXAMINATION, DECEMBER 2017
Branch: CIVIL ENGINEERING

Stream(s): STRUCTURAL ENGINEERING

OICE6105 - Structural Dynamics
Answer any twofull questions from each part
Limit answers to the required points.

Max. Marks: 60 Duration; 3 hours
PARTA
1. a. Derive the basic equation of modon Of a damped system excited by a force
೧8051761. (3)

0. 81811 beam of stiffness 103 N/mm supports a mass of 4000 kg at its tip. The beam is undamped and set into
free vibration. If the initial displacement is 5 mm and the displacement after 2 seconds is 4 mm, obtain the
displacement after 3 seconds and the amplitude of vibraaon. (3)

c. An undamped single degree of freedom system of mass 60 kg and stiffness 0.15
N/mm initially at rest is subjected to a rectangular impulse input as P(t) 600 N 1070
510.3 sec and P(t) = 0 for t 20.3 sec. Obtain the Hme displacement history upto 5
sec at an interval of 0.1 sec. (3)

2. a. Enumerate the methods for numerical evaluation of response of dynamic systems
and explain the concept involved in any one method. (4)

0. Determine the natural frequency of a canalever beam of span 5 ന propped at its end and carrying a concentrated load of 5
kN at midspan, neglecting the mass of the beam. £ = 2x105 N/ mm2, | = 4.5x108 mm4. (5)

3. a. Define logarithmic decrement. (2)

b. Calculate the response of a single degree of freedom system subjected to a
periodic loading as shown with = 1 sec and PO = 500 KN. The system has the
following properties. k = 10000kN/m, ന = 10000 kg and = 0.05. Truncate the
series with n= 5 and consider only the steady state response.

P(t)