Design and Modeling of Fluid Power Systems ME 597/ABE 591

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Systems ME 597/ABE 591 Dr. Monika Ivantysynova MAHA Professor Flud Power Systems MAHA Fluid Power Research Center Purdue University

Systems Dr. Monika Ivantysynova, Maha Professor Fluid Power Systems Mivantys@purdue.edu http://www.purdue.edu/me Phone: 765 447 1609 Fax: 765 448 1860 @ Maha Fluid Power Research Center, 1600 Kepner Drive Lafayette, IN 47905 http://engineering.purdue.edu/maha 2

Course Description ME 597/ABE 591 Systems 1 Semester, 3 classes/week, credits 3 Prerequisites: ABE 435 or ME 309, ME 375 or consent of instructor. This course provides an introduction into modeling and design of fluid power components and systems. Modeling techniques based on physical laws and measured performance characteristics will be applied to design and analyze component and system performance. Fundamentals: - design principles of displacement machines, - flow and pressure control, - motion control using resistance control, - motion control using displacement controlled actuators, - variable speed transmissions, - modeling of flow in lubricating gaps, - transmission line models, - secondary controlled systems, - load sensing systems. 3

Course Objectives 1. To learn to design fluid power systems and to understand the function of components and how to model their steady state and dynamic behavior. 2. To determine steady state and dynamic characteristics of fluid power components and systems based on measurements. 3. To learn how to model fluid power components and systems based on physical laws and when to use these models. 4. To learn how to design advanced energy saving hydraulic actuators and to predict their performance. Note that for all physical quantities the SI system of units will be used consequently in this course. 4

Contents 1. Introduction and overview of components, circuit and system design methods 2. Fluid properties, bulk modulus, viscosity, solubility of gas, types of fluids 3. Modeling of transmission lines, impedance model of lines, accumulators 4. Displacement machines design principles, scaling laws, power density, volumetric and torque losses 5. Displacement machines classification, piston machines, vane type machines, gear machines 6. Steady state characteristics, measurement methods and modeling 7. Gap flow models 5

Contents 8. Flow and pressure pulsation, model of displacement chamber pressure 9. Resistance control, modeling of steady state and dynamic performance, pressure and flow control valves 10. Servo- and proportional valves, nonlinear and linear system models 11. Modeling of valve controlled systems, linear and rotary actuators 6

Contents 12. Modeling of displacement controlled actuators, pump control systems 13. Secondary controlled actuator, modeling and application 14. Special system design aspects, load sensing systems 15. Hydrostatic transmissions 7

Literature Ivantysyn, J. and Ivantysynova, M. (2001), Hydrostatic Pumps and Motors. Akademia Books International. New Dehli. ISBN-81-85522-16-2 Fitch, E.C. and Hong, I.T. (1998), Hydraulic Component Design and Selection. BarDyne, Inc. Oklahoma, USA Watton, John (2009), Fundamentals of Fluid Power Control. Cambridge University Press, New York H. E. Merritt. Hydraulic Control Systems. John Wiley & Sons, Inc. Manring, Noah D. (2005), Hydraulic Control Systems. John Wiley & Sons, Inc. Hoboken, New Jersey 8

Fluid Power Systems Pascal s Law Hydrostatic Systems, Power Transmissions & Actuators Any change of pressure at any point of an incompressible fluid at rest, is transmitted equally in all directions. formulated 1651 by Pascal F 1 F 2 A 1 A 2 pressure p Thus it is possible to transmit forces using the static pressure of a fluid. The hydrostatic pressure is given by the ratio of the force acting on a fluid column and the related area. we can build machines to multiply forces! 9 9

Basic system structure Power Transmission in hydrostatic systems High Pressures 50MPa Excellent Dynamic Behavior Easy Overload Protection Flexible Arrangement Hydrostatic System Energy Source Hydrostatic Pump Control Elements and Transm. Lines Hydrostatic Motor Mechanical Work mech. Energy hydr. Energy Electrical Sensors and Electronic Devices Signal Microprocessor 10 10

System structure ISO Symbols for Circuit Design Control of energy transmission ISO International Organization for Standardization 11 11

Circuit design ISO Symbols for Circuit Design a basic selection of ISO 1219:1991 fixed displacement pump single rod cylinder variable displacement pump fixed displacement motor single rod cylinderdouble acting double rod cylinder variable displacement motor variable displacement machine accumulator 12

Circuit design ISO Symbols for Circuit Design Directional control valves valve with two positions valve with three positions 2/2 directional control valve 4/3 directional control valve type of valve operation pneumatically hydraulically electrically manually proportional valve hydraulic resistance continuously changeable 4/3 directional control valve, electro hydraulically operated and centered by springs 13

Circuit design ISO Symbols for Circuit Design pressure relief valve filter pressure reduction valve cooler check valve pilot operated check valve reservoir compressor throttling valve flow meter adjustable throttling valve 14

Circuit design Design of a circuit diagram A fixed displacement pump driven by an electric motor operates a single rod cylinder. The circuit is protected against overload by a pressure relief valve. The lifting function is realized using an easy 2/2 directional control valve, which is operated by an solenoid. Draw the circuit! fixed displacement pump electrically EM electric motor 2/2 directional control valve single road cylinder pressure relief valve reservoir 15 EM

Displacement machine Axial piston pump & motor Power source in fluid power systems Transfers mechanical power into fluid power or when working as motor Transfers fluid power into mechanical power 16

Displacement Displacement machine machine How it works? The ideal working process assuming an ideal fluid Inlet Distributor (Control spool) Cylinder Piston p 2 D Indicator diagram Pumping C p Outlet p 1 A Suction B V min The displacement machine works as pump V V max 17 12

Displacement Displacement machine machine When changing ports the machine works as motor The ideal working process assuming an ideal fluid Inlet Distributor (Control spool) Cylinder Piston p 2 D Indicator diagram Motoring C p 2 p p 1 Outlet p 1 A B V min The displacement machine works as motor V V max 18 13

Displacement machine Assumptions for ideal working process of displacement machines Ideal machine means: - rigid parts - no clearance between moveable parts - ideal switching between port connection Ideal fluid means: - incompressible - non-viscous 19 14

Basic Displacement equations machine With linear motion Pressure difference: Cylinder Force acting on piston: F = Δp AK Piston Piston displacement: ds K = v K dt input/output relationship Volumetric flow: Q = v K A K v K A K Q Piston work: Power: W = F ds K = Δp Q dt W Δp Q F 1 A K 20 25

Basic Displacement equations machine With rotary motion Cylinder Pressure difference: Displacement volume: V = 2 π r AK Piston Torque: T = Δp AK r = Δp V 2 π T Piston work: Volumetric flow: Power: da = T dϕ = Q = V n W Δp Q Δp V 2 π 2 π n dt = Δp n V dt with ω = 2 π n n V Q input/output relationship T 2 π V 21 26

Classification of pumps according to circuit configuration Open circuit pumps p 2 >p 1 p 2 Q p 2 Volume displaced per revolution can be varied. This allows to vary the flow rate at pump outlet. Fixed displacement p 1 p 1 Variable displacement Closed circuit pumps p 2 Q p 2 Q p 2 >p 1 p 2 >p 1 Reversible pump Q p 2 p 1 Overcenter pump p 2 p 1 Q p 2 Q or Q p 1 p 1 or Q p 1 Q 22

Industrial applications Construction machines Aerospace Automotive Railway Offshore Fluid Power Systems Robotics Manufacturing Medical devices Materials handling Agricultural and forestry machinery 23

FP system design steps Specification System structure Performance Prediction Product Example: Steering System ( Servotronic made by ZF) 24

FP system design steps Specification Circuit design Selection & Sizing of components Product Modeling System simulation Performance Prediction Test Controller Design Manufacturing/Assembly 25

Aim Engineering project To demonstrate in form of an engineering project the ability to design fluid power systems, to understand the function of components and how to model their steady state and dynamic behavior to predict the system performance and compare with measurements. The project should also train the ability to plan and conduct measurements on hydrauic actuation systems and finally proof the ability of writing an engineering report in an appropriate form. Method Students will solve several sub problems of the entire system design work as part of the regular course homework. The Lab 2 report will form one chapter of this engineering report. 26

Project Description The goal of this engineering project is to design, model and predict the performance of the displacement controlled rotary actuator of the JIRA test rig. The JIRA test rig was built to test a novel displacement controlled rotary actuator under different load situations. The test rig can also be used to power the boom of the wheel loader L5 using displacement controlled actuation. The design, modeling and performance prediction of this linear actuator is also requested as part of this project. System Performance Maximum Actuator torque: 30 knm Maximum rotary actuator velocity: 0.628 rad/s 27

Displacement controlled rotary actuator Controller Pump control Engine Pump module Motor Module 28

Engineering project The project includes measurments on the JIRA test rig to proof your system model. The project requires the following tasks: 1. Define the system structure, draw the hydraulic circuit diagram and a scheme showing the interface between the fluid power system and the entire test rig structure. Explain also the type of operation/ control of both actuators. 2. Size and select system components, list the order code of each component in a summery table 3. Create models to predict system performance like actuator motion, velocity, system pressure as function of time for a defined operation cycle. 29

Engineering project 4. Solve models using Matlab/Simulink and plot results for minimum one operating/ working cycle of the machine. 5. Conduct measurements on the Jira and compare measured system parameters with your simulation results 6. Document your design, system analysis (modeling, simulation) and measurements including all obtained results in form of an engineering report. 30

Experimental work project Performance Measurement of displacement controlled rotary and linear actuators Aim To learn to plan, design and operate an experimental test set up for performance testing of displacement controlled machine. To become familiar with test set up, measurement equipment, system control and data acquisition system used on test rig. The project should also proof the ability of performing a measurement, evaluation of test data and writing a measurement report in an appropriate form. Method: Students will have to form teams of three students. One lecture will be used for introduction into the problem and the existing test rig. Students will then have to learn to operate the test rig and to perform measurement. Each team has to write a measurement report. The report forms one chapter of the engineering report. 31

Experimental work project Performance Measurement of displacement controlled rotary and linear actuators 1. Study the test rig structure and describe it in the report accordingly. 2. Specify operating conditions and values to be measured, describe sensors and data acquisition system, including measurement accuracy. 3. Perform the measurement. Each group needs to make arrangements for performing their measurements with Rohit. 4. Evaluate the test results and complete a report. 32

Homework Circuit Design aircraft system application Draw the circuit of the flap and aileron actuation system of a small aircraft. The hydraulic system uses a variable engine driven pump as power supply. The pump takes flow from a reservoir. The circuit is protected against overload by a pressure relief valve. The speed and the direction of rotation of the flap motor are controlled using an electrically operated proportional valve. The aileron actuator contains a double acting cylinder, which is also controlled by an electrically operated proportional valve. Draw the circuit using ISO standard! Use the following symbol for the electrically operated proportional valve 33