The spring actuator shown in Fig operates by using the air pressure from a pneumatic controller (p) as input and providing an output displacement to a valve (x) proportional to the input air pressure. The diaphragm, made of a fabric-base rubber, has an area A and deflects under the input air pressure against a spring of stiffness k. Find the Response of the valve under a harmonically fluctuating input air pressure p(t)=p0 sin wt for the following data: PO = 10 psi, w =8 rad/s, A= 100 in.2, k =400 lb/in., weight of spring = 15lb, and weight of valve and valve rod = 20 lb. %3D Fig: Input (air under pressure, p)
The spring actuator shown in Fig operates by using the air pressure from a pneumatic controller (p) as input and providing an output displacement to a valve (x) proportional to the input air pressure. The diaphragm, made of a fabric-base rubber, has an area A and deflects under the input air pressure against a spring of stiffness k. Find the Response of the valve under a harmonically fluctuating input air pressure p(t)=p0 sin wt for the following data: PO = 10 psi, w =8 rad/s, A= 100 in.2, k =400 lb/in., weight of spring = 15lb, and weight of valve and valve rod = 20 lb. %3D Fig: Input (air under pressure, p)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The spring actuator shown in Fig operates by using
the air pressure from a pneumatic controller (p) as
input and providing an output displacement to a valve
(x) proportional to the input air pressure. The
diaphragm, made of a fabric-base rubber, has an area
A and deflects under the input air pressure against a
spring of stiffness k. Find the Response of the valve
under a harmonically fluctuating input air pressure
p(t)=p0 sin wt for the following data: PO = 10 psi, w
=8 rad/s, A= 100 in.2, k =400 lb/in., weight of spring =
15lb, and weight of valve and valve rod = 20 lb.
Fig:
Input
(air under pressure, p)
Diaphragm
(area, A)
Valve rod
Spring (stiffness, k)
Valve
Output air
(pressure
controlled
by motion
of valve)
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