please answer all questions with full calculation thank you!
- Subject Vibration Please Answer All Questions With Full Calculation Thank You P 9 Q 0 R 0 S 4 T 3 1 (37.92 KiB) Viewed 25 times
- Subject Vibration Please Answer All Questions With Full Calculation Thank You P 9 Q 0 R 0 S 4 T 3 2 (11.52 KiB) Viewed 25 times
- Subject Vibration Please Answer All Questions With Full Calculation Thank You P 9 Q 0 R 0 S 4 T 3 3 (6.51 KiB) Viewed 25 times
(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)