a107412101-Vibrations and Structural Dynamics_dec 2011

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Code No: A107412101 Set No. 1JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

IV B.Tech. I Sem., II Mid-Term Examinations, December– 2011VIBRATIONS AND STRUCTURAL DYNAMICS

Objective ExamName: ______________________________ Hall Ticket No.

Answer All Questions. All Questions Carry Equal Marks.Time: 20 Min. Marks: 20.

1. Inverse of laplace transform( )

2

22 2

S

S a+[ ]

a) Sin t α b)sin2

2

t α α

c)2 α d)1

sin2

t α α

2. Steady state response of the rotational system. [ ]

a) w n b) 21 z− c) 2( 1 ) n z w− d)21

nw

z−

3. A matrix in which diagonal elements are one is _________ matrix [ ]a) Square b) Adjoint c) Identity d) Cofactor

4. Transient response of rectilineas system. [ ]

a) 21 nwd z w= − b) 21nw wd z= − c) 21 z wd wn− = − d)2

1

1

wn

wa e=

−

5. Maxwell’s reciporocal theorem [ ]a) a ij/a ji b) a ij = a ji c) (a ji) d) a ij

6. The static deflection at point ‘I’ because of unit load acting at p tj is ________. [ ]

a) Influence coefficient b) Inverse Matrixc) Adjoint matrix d) Cofactor Matrix

7. Harmonic motion of various of amplitude & frequencies [ ]a) X 1 = A 1 Sinwt b) A 1 = xsin ω t c) Sin ω t = 0 d) x = xcost ω t

8. Languages equation is [ ]

a) ( . ) ( . .) 0!

d K E P E

dt x

∂+ =

∂b) ( . ) ( . .) 0

!

d K E P E

dx x

∂+ =

∂

c) . ( . .) 0!

d K E P E

dx x

∂− =

∂d) . . ( . .) 0

! !K E P E

t x x

∂ ∂ ∂− =

∂ ∂ ∂

9. Equivalent stiffness of the shaft [ ]

a)1 2 3

1 1 1 1K K K K

= − + b)1 2 3

1 1 1 1K K K K

= + + c)1 2 3

1 1 1 1K K K K

− − = d)K=K 1+K 2+K 3

10. Phase differences of principal modes. [ ]a) sincotφ θ = b) cos t φ ω θ = c) cot cot φ θ = d) tan cot φ θ =

Cont……2



Code No: A107412101 :2: Set No. 1

II. Fill in the blanks

11. The amplitude ratio of principal mode is________.

12. The speed ratio of rotation shafts______________.

13. Fourier series method non linear equation is ____________.

14. Method of iteration the differential equation______________.

15. Duhamel’s integral method equation is __________________.

16. Unit matrix [I] = ___________________

17. If [F] = [K] [x], [K] is ___________.

18. Equation of length of equivalent shaft______________.

19. Expression for frequency of vibrational for original shafts_______________.

20. If w 1 = w 2 then mass ratio μ = __________________

-oOo-



Code No: A107412101 :2: Set No. 2




13. Unit matrix [I] = ___________________

14. If [F] = [K] [x], [K] is ___________.







-oOo-



Code No: A107412101 :2: Set No. 3


11. Unit matrix [I] = ___________________

12. If [F] = [K] [x], [K] is ___________.





17. The speed ratio of rotation shafts______________.18. Fourier series method non linear equation is ____________.



-oOo-



Code No: A107412101 Set No. 4JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

IV B.Tech. I Sem., II Mid-Term Examinations, December– 2011VIBRATIONS AND STRUCTURAL DYNAMICS

Objective ExamName: ______________________________ Hall Ticket No.

Answer All Questions. All Questions Carry Equal Marks.Time: 20 Min. Marks: 20.

1. Languages equation is [ ]

a) ( . ) ( . .) 0!

d K E P E

dt x

∂+ =

∂b) ( . ) ( . .) 0

!

d K E P E

dx x

∂+ =

∂

c) . ( . .) 0!

d K E P E

dx x

∂− =

∂d) . . ( . .) 0

! !K E P E

t x x

∂ ∂ ∂− =

∂ ∂ ∂

2. Equivalent stiffness of the shaft [ ]

a)1 2 3

1 1 1 1

K K K K = − + b)

1 2 3

1 1 1 1

K K K K = + + c)

1 2 3

1 1 1 1

K K K K − − = d)K=K

1+K

2+K

3

3. Phase differences of principal modes. [ ]a) sincotφ θ = b) cos t φ ω θ = c) cot cot φ θ = d) tan cot φ θ =

4. Inverse of laplace transform( )

2

22 2

S

S a+[ ]

a) Sin t α b)sin2

2

t α α

c)2 α d)1

sin2

t α α

5. Steady state response of the rotational system. [ ]

a) w n b) 21 z− c) 2( 1 ) n z w− d)21

nw

z−

6. A matrix in which diagonal elements are one is _________ matrix [ ]a) Square b) Adjoint c) Identity d) Cofactor

7. Transient response of rectilineas system. [ ]

a) 21 nwd z w= − b) 21nw wd z= − c) 21 z wd wn− = − d)2

1

1

wn

wa e=

−

8. Maxwell’s reciporocal theorem [ ]

a) a ij/a ji b) a ij = a ji c) (a ji) d) a ij

9. The static deflection at point ‘I’ because of unit load acting at p tj is ________. [ ]a) Influence coefficient b) Inverse Matrixc) Adjoint matrix d) Cofactor Matrix

10. Harmonic motion of various of amplitude & frequencies [ ]a) X 1 = A 1 Sinwt b) A 1 = xsin ω t c) Sin ω t = 0 d) x = xcost ω t

Cont……2



Code No: A107412101 :2: Set No. 4










19. Unit matrix [I] = ___________________

20. If [F] = [K] [x], [K] is ___________.

-oOo-

a107412101-Vibrations and Structural Dynamics_dec 2011

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