(b) Between a solid mass of 1P kg and floor, two slab of isolator, natural rubber and felt are kept in series as shown in Figure Q1(b). The natural rubber slab has a stiffness of 3Q00 N/m and an equivalent viscous damping coefficient of 11R Ns/m. The felt slab has a stiffness of 12,S00 N/m and an equivalent viscous damping coefficient of 1ΤΟ Ns/m.

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use this matrix num sir (ad 200107)

(b) Between a solid mass of 1P kg and floor, two slab of isolator, natural rubber and felt
are kept in series as shown in Figure Ql(b). The natural rubber slab has a stiffness
of 3Q00 N/m and an equivalent viscous damping coefficient of 11R Ns/m. The felt
slab has a stiffness of 12,S00 N/m and an equivalent viscous damping coefficient of
1TO Ns/m.
(i)
Sketch the single degree of freedom spring-mass-damper system
(1i)
Determine the undamped and damped natural frequencies of the system in
the vertical direction. Neglect the mass of the isolator
Note Q1(b): The values of P, Q. R, S, and T depend on the respective 2nd 3rd, 4h
sh, and 6h digits of your matric number as in the following number format: AD
XPQRST. For example, if your matric number is AD 170154 gives the value P = 7,
Q = 0, R = 1, S = 5, and T = 4, thus the solid mass is 17 kg, rubber slab stiffness is
3000 N/m, rubber slab viscous damping coefficient is 111 Ns/m, felt slab stiffness
is 12,500 N/m and felt slab viscous damping coefficient is 140 Ns/m.
Transcribed Image Text:(b) Between a solid mass of 1P kg and floor, two slab of isolator, natural rubber and felt are kept in series as shown in Figure Ql(b). The natural rubber slab has a stiffness of 3Q00 N/m and an equivalent viscous damping coefficient of 11R Ns/m. The felt slab has a stiffness of 12,S00 N/m and an equivalent viscous damping coefficient of 1TO Ns/m. (i) Sketch the single degree of freedom spring-mass-damper system (1i) Determine the undamped and damped natural frequencies of the system in the vertical direction. Neglect the mass of the isolator Note Q1(b): The values of P, Q. R, S, and T depend on the respective 2nd 3rd, 4h sh, and 6h digits of your matric number as in the following number format: AD XPQRST. For example, if your matric number is AD 170154 gives the value P = 7, Q = 0, R = 1, S = 5, and T = 4, thus the solid mass is 17 kg, rubber slab stiffness is 3000 N/m, rubber slab viscous damping coefficient is 111 Ns/m, felt slab stiffness is 12,500 N/m and felt slab viscous damping coefficient is 140 Ns/m.
m = 1P kg
rubber
felt
Figure Q1(b)
Transcribed Image Text:m = 1P kg rubber felt Figure Q1(b)
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