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e Ps. The pneumatic lines have linearized resistances R1 and eumatic capacitances, C1and C2 for filling the tanks with ming an isentropic process at temperature T. ic equations for the pressures õpi, and ôp; withop(t) as the matrices for this system.

e Ps. The pneumatic lines have linearized resistances R1 and eumatic capacitances, C1and C2 for filling the tanks with ming an isentropic process at temperature T. ic equations for the pressures õpi, and ôp; withop(t) as the matrices for this system.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Consider the following pneumatic system which is comprised of two rigid tanks of volume Viand V2. V: The variables opi ,8p2, and õp,(t) are small deviations around a reference steady-state pressure pss. The pneumatic lines have linearized resistances R1 and R2. P2 a) Determine the pneumatic capacitances, C1and C2 for filling the tanks with nitrogen gas undergoing an isentropic process at temperature T. P1 b) Derive the dynamic equations for the pressures õpi, and 8p; withop,(t) as the Pa input. c) Define the state matrices for this system. System_Parameters - (R, - 0.05 R; = 0.04 V = 0.45 V;= 0,3 R,= 287.0 T = 25.0) units : R- L; v ~ m²; Rq ~ "; T ~ °C (note that T will need to be converted to K)
Transcribed Image Text:Consider the following pneumatic system which is comprised of two rigid tanks of volume Viand V2. V: The variables opi ,8p2, and õp,(t) are small deviations around a reference steady-state pressure pss. The pneumatic lines have linearized resistances R1 and R2. P2 a) Determine the pneumatic capacitances, C1and C2 for filling the tanks with nitrogen gas undergoing an isentropic process at temperature T. P1 b) Derive the dynamic equations for the pressures õpi, and 8p; withop,(t) as the Pa input. c) Define the state matrices for this system. System_Parameters - (R, - 0.05 R; = 0.04 V = 0.45 V;= 0,3 R,= 287.0 T = 25.0) units : R- L; v ~ m²; Rq ~ "; T ~ °C (note that T will need to be converted to K)
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