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 1TO Ns/m. (i) Sketch the single degree of freedom spring-mass-damper system (ii) Determine the undamped and the damped natural frequencies of the system in 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, 4th, 5th, and 6th digit of your matric number as the following number format AD XPORST, 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 ration is 140 Ns/m.

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pls ans quickly 

use this values 

p=0

q=0

r=2

s=0

t= 1

 

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
1Τ0 Ns/m.
(i)
Sketch the single degree of freedom spring-mass-damper system
(ii)
Determine the undamped and the damped natural frequencies of the system
in 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, 4th,
5th, and 6th digit of your matric number as 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 ration is 140 Ns/m.
Transcribed Image Text: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 1Τ0 Ns/m. (i) Sketch the single degree of freedom spring-mass-damper system (ii) Determine the undamped and the damped natural frequencies of the system in 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, 4th, 5th, and 6th digit of your matric number as 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 ration is 140 Ns/m.
m = 1P kg
rubber
felt
Figure Q1b
Transcribed Image Text:m = 1P kg rubber felt Figure Q1b
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