subject: vibration please answer all questions with full calculation thank you! p=9, q=0, r=0, s=4, t=3
Posted: Fri Apr 29, 2022 10:06 am
subject: vibration
please answer all questions with full calculation thank you!
p=9, q=0, r=0, s=4, t=3
(b) Between a solid mass of IP kg and floor, two slab of isolator, natural rubber and felt are kept in series as shown in Figure Q1b). The natural rubber slab has a stiffness of 3000 N/m and an equivalent viscous damping coefficient of 11R Ns/m. The felt slab has a stiffness of 12,800 N/m and an equivalent viscous damping coefficient of 1 TO Ns/m. (i) Sketch the single degree of freedom spring-mass-damper system (2 marks) (ii) Determine the undamped and damped natural frequencies of the system in the vertical direction. Neglect the mass of the isolator (12 marks) Note Q1(b): The values of P, Q, R, S, and T depend on the respective 2nd, 3rd, 4h, 5th, and 6th 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 Q1b)
please answer all questions with full calculation thank you!
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(b) Between a solid mass of IP kg and floor, two slab of isolator, natural rubber and felt are kept in series as shown in Figure Q1b). The natural rubber slab has a stiffness of 3000 N/m and an equivalent viscous damping coefficient of 11R Ns/m. The felt slab has a stiffness of 12,800 N/m and an equivalent viscous damping coefficient of 1 TO Ns/m. (i) Sketch the single degree of freedom spring-mass-damper system (2 marks) (ii) Determine the undamped and damped natural frequencies of the system in the vertical direction. Neglect the mass of the isolator (12 marks) Note Q1(b): The values of P, Q, R, S, and T depend on the respective 2nd, 3rd, 4h, 5th, and 6th 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 Q1b)