Question

A small motor driven paint compressor set of mass 27 kg sits on rigid, massless platform that is supported by 4 spring-damper isolators (each isolator is composed of a spring and damper) for which cach spring constant is 13245 N/m. When the motor runs, it runs at a constant speed of 1750 rpm. The compressor piston has a 50 mm stroke (double its eccentricity). The piston and reciprocating parts have a mass of 0.5 kg, and the motion of the piston-reciprocating parts is considered harmonic. Each isolator's damper when tested shows a decrease in displacement from 3.415 ㎝ to 0202 an in 4 cycles. Problem la. Determine the amplitude of vertical motion of the motor at the operating speed Problem 1h. What is the amplitude of vertical motion when the operating speed becomes very large Problem lc. What is the damping ratio for each isolator? What is the damping ratio for the system? What is the damping constant for each isolator? Problem ld. What is the Force transmitted to the support as a function of time-F) Determine all the quantities in Frans (t)equation, eg, Fms, Ψ and β Problem le. What is the maximum Force transmitted to the support at resonance? Note: dampers in parallel follow the same formula as springs in parallel

Answer 1

Sen. Given dda %, N: 1450p lo3.IH a) damping aio system aJ2x 13245 s 1116 01 C) 893.203 : 52980 4 damped y293.203 e. 112 512. Pa 2342 04 04

(te xa) l-ア 52486mm C16-6 (16.6) 1. У 0.q8 -'.开2600N