MSC.EASY5 Transfer Function Apply a set of linear analysis tools Transfer function generation Calculates poles, zeros, and leading coefficient Frequency response analysis Bode Nichols Nyquist Bose epes am lpe AASEIDEG aa 2, Ruri: tn te, Case 1, Dapla 1.30-UG-2-0-, 1655:57 Madet a4 2, Ranis tn fne ca t, Daslae 5 aa, Fat an e Case 1, Daplay. 7. 30-AUG-2005, EAS101 Introduction to msC easy5- Chart 16 MSCXSOFTWARE SIRULATINE IEALITY
MSC.EASY5 EAS101 Introduction to MSC.EASY5 - Chart 16 Transfer Function • Apply a set of linear analysis tools – Transfer function generation ▪ Calculates poles, zeros, and leading coefficient – Frequency response analysis Bode Nichols Nyquist Transfer Function from Input: pos_cmd to Output: position .01 .1 1 10 100 -360 -270 -180 -90 0 .01 .1 1 10 100 -100 -80 -60 -40 -20 0 Model: act_2, Runid: tran_func, Case: 1, Display: 1. 30-AUG-2005, 16:56:57 FREQ(HZ) GAIN(DB) Bode: from pos_cmd to position FREQ(HZ) PHASE(DEG) Transfer Function from Input: pos_cmd to Output: position -360 -270 -180 -90 0 -100 -80 -60 -40 -20 0 Model: act_2, Runid: tran_func, Case: 1, Display: 5. 30-AUG-2005, 16:59:12 PHASE(DEG) GAIN(DB) Nichols: from pos_cmd to position 0.31422 0.83752 3.2671 3.5288 4.4259 4.7249 5.6078 9.3124 33.304 Transfer Function from Input: pos_cmd to Output: position 0 0.2 0.4 0.6 0.8 1 Model: act_2, Runid: tran_func, Case: 1, Display: 7. 30-AUG-2005, 16:59:12 180 GAIN(ABS) Nyquist: from pos_cmd to position 0.13171 0.83752 3.2671 4.7249 5.7842
MSC.EASY5 Root locus Root Locus analysis Root Locus varying actuator AREA 70 Root Locus Parameter= AREA Non linear method Accurately tracks system nonlinearities Root Locus parameter can be any system parameter. Much more flexible than classical method Saves costh simulation runs Applicable to hybrid system models Real (s-plane) Model: act 2, Runid: root locus, Case: 1, Display: 1. 30-AUG-2005, 17: 04: 36 EAS101 Introduction to MSC. EASY5-Chart 17 MSCXSOFTWARE SIRULATINE IEALITY
MSC.EASY5 EAS101 Introduction to MSC.EASY5 - Chart 17 Root Locus • Root Locus analysis – Nonlinear method ▪ Accurately tracks system nonlinearities ▪ Root Locus parameter can be any system parameter. ▪ Much more flexible than classical method – Saves costly simulation runs – Applicable to hybrid system models Root Locus varying actuator AREA -60 -50 -40 -30 -20 -10 0 20 30 40 50 60 70 Model: act_2, Runid: root_locus, Case: 1, Display: 1. 30-AUG-2005, 17:04:36 Real (s-plane) Imaginary (s-plane) Root Locus Parameter = AREA 4 2.5 3.75 5 6.25 7.5 8.75 10 OL Poles Nom. values
MSC.EASY5 Other Linear Analyses Stability Margins Analysis Determine maximum and minimum values for system parameters that maintain system stability Calculates oscillation frequencies at stability boundaries Eigenvalues Sensitivity Analysis Measures the sensitiv ity of system eigenvalues to a change in any system parameter Power Spectral Density Analysis Calculates energy content of an input and output signal of the linearized system Uses a frequency response method EAS101 Introduction to msC easy5- Chart 18 MSCXSOFTWARE SIRULATINE IEALITY
MSC.EASY5 EAS101 Introduction to MSC.EASY5 - Chart 18 Other Linear Analyses • Stability Margins Analysis – Determine maximum and minimum values for system parameters that maintain system stability – Calculates oscillation frequencies at stability boundaries • Eigenvalues Sensitivity Analysis – Measures the sensitivity of system eigenvalues to a change in any system parameter • Power Spectral Density Analysis – Calculates energy content of an input and output signal of the linearized system – Uses a frequency response method
MSC.EASY5 MSC, EASY5 and other Tools 100%GUI from start to finish MSC. EASY5 Model dynamic systems Graphical Modeling Differential equations(continuous) Analysis Plotting Difference equations(discrete Algebraic equations Differentialalgebraicequations(DAE Suite of tools forlinear/nonlinearanalysis Complete plotting package Matrix Algebra Tool Extensions Link to Extemal Multi-Body Dynamics Data Analysis Calculator Programs MSC. ADAMS Pro/Mec hanica LMS Virtual Lab motion Finite state machir MSC NASTRAN EAS101 Introduction to msC easy5- Chart 19 MSCXSOFTWARE SIRULATINE IEALITY
MSC.EASY5 EAS101 Introduction to MSC.EASY5 - Chart 19 MSC.EASY5 and Other Tools • 100% GUI from start to finish • Model dynamic systems - Differential equations (continuous) - Difference equations (discrete) - Algebraic equations - Differential algebraic equations (DAE) • Suite of tools for linear/nonlinear analysis • Complete plotting package • Multi-Body Dynamics - MSC.ADAMS - Pro/Mechanica - LMS Virtual.Lab Motion • Finite State Machines • MSC.NASTRAN • Others Matrix Algebra Tool Data Analysis & Calculator Extensions Link to External Programs MSC.EASY5 Graphical Modeling Analysis & Plotting
MSC.EASY5 MSC EASY5 History EASY5's Development Spans Three Decades and Involves over 650 Years Military Aerospace Commercial Aircraft Automotive, Off-Highway Industrial 1975 1980 1985 1990 1995 2000 2005 Ricardo Realtime Toolkit Fuel cell EASY5 Libran EASY4 developed for released GUI commercialized EASY5 UNIX US Air Force to Gas workstation revamping analyze aircraft D native version released environmental control Library windows systems Ricardo powertrain version Ricardo and Engine Libraries released Electric Drive Electric Library Drive EASY5 X Window ry version re leased Windows nt EASY5 developed by Boeing for DADS link dynamic and control system analysis. Thermal Hydraulic MATLAB Interface MDI acquires Library released MATRIXX Interface EASY5 from Boeing Msc EAS101 Introduction to msC easy5- Chart 20 MSCXSOFTWARE SIRULATINE IEALITY
MSC.EASY5 EAS101 Introduction to MSC.EASY5 - Chart 20 MSC.EASY5 History 1975 1980 1985 1990 1995 EASY4 developed for US Air Force to analyze aircraft environmental control systems EASY5 developed by Boeing for dynamic and control system analysis. EASY5 commercialized EASY5 UNIX workstation version released EASY5 X Window version released Thermal Hydraulic Library released Realtime Toolkit released Ricardo Powertrain and Engine Libraries released Windows NT DADS link MATLAB Interface MATRIXx Interface Electric Drive Library EASY5’s Development Spans Three Decades and Involves Over 650 Years Commercial Aircraft Automotive, Off-Highway & Industrial 2000 Ricardo Fuel Cell Library Gas Dynamics Library Ricardo Electric Drive Library Military & Aerospace 2005 GUI revamping & native windows version MDI acquires EASY5 from Boeing & MSC acquires MDI