© 2011 Maplesoft The Potential for Maple and MapleSim to Energize the Curriculum to Meet Emerging Needs of 21 st Century Engineering Derek Wright PhD MapleSim Product Manager, Maplesoft December 6, 2011

© 2011 Maplesoft Assertions 1.Even with a technology strategy, we are currently not getting to the conceptual core of engineering modeling 2.Industry is undergoing a major transformation and we stand to fall behind in our pedagogy 3.New software promises to reconcile theory with application and design in industry, research, and ultimately in the classroom

© 2011 Maplesoft Things oscillate and blow up Things just blow up Nothing much happens Things blow up faster Things oscillate and die down Things just die down Things die down faster Things oscillate more violently Things oscillate Let’s explore this a bit …

© 2011 Maplesoft Why is this important? Roots Transfer functions Differential equations DE solution Time response Eigenvalues? Frequency response? Convolution? Root locus? ? ? ? ? ? ?

© 2011 Maplesoft Observations Things blow up because of the positive exponential Things oscillate because complex roots in Laplace lead to sinusoids in time If you have real roots only on the LHP, things are steady and stable Etc.

© 2011 Maplesoft Some desirable conclusions We like DEs because they predict physical behavior We like Laplace transforms because make it easier to manipulate the math The art of engineering is about choosing the parameters that will avoid things blowing up or oscillating violently Engineering modeling makes much more sense when mathematics and visualization are placed in the right context – Thank goodness for computers

© 2011 Maplesoft Prevailing practice MATLAB snippet for computing time response given the coefficients of the transfer function

© 2011 Maplesoft Assertions 1.Even with a technology strategy, we are currently not getting to the conceptual core of engineering modeling 2.Industry is undergoing a major transformation and we stand to fall behind in our pedagogy 3.New software promises to reconcile theory with application and design in industry, research, and ultimately in the classroom

© 2011 Maplesoft The curriculum disconnect Freshman calculus + Algebra Ordinary differential equations Linear systems + Control systems

© 2011 Maplesoft The conceptual core Roots Transfer functions Differential equations DE solution Time response Engineering mathematics exists only to model real systems The purpose of modeling is insight and design not numbers not math not necessarily even “applications”

© 2011 Maplesoft The computing disconnect Basic usability Role of the computer in a professional curriculum – Teach the tool or teach the concepts? – In math, the answer is clear. In engineering? Push for standardization of technology Industry, the great arbitrator

© 2011 Maplesoft Assertions 1.Even with a technology strategy, we are currently not getting to the conceptual core of engineering modeling 2.Industry is undergoing a major transformation and we stand to fall behind in our pedagogy 3.New software promises to reconcile theory with application and design in industry, research, and ultimately in the classroom

© 2011 Maplesoft Emerging challenges in Model Based Design Tasks Capacity Number of functions (Complexity) “Taking countermeasures may be delayed due to hesitation for the investment and the subjective impression that we have done well.” A. Ohata TMC, PMC Meeting Aug. 2007

© 2011 Maplesoft Physical/Plant Modeling Consortium (PMC) Toyota Daimler GM Audi Volkswagen Ford Renault Fiat Honda Jaguar & Rover OEM Bosch Denso Hitachi Fujitsu Magna JATCO Suppliers Maplesoft IAV Emmeskay dSpace ETAS Modelon AVL Solutions U Waterloo UC Berkeley Lund U TU Berlin U Michigan U Birmingham McGill U Universities Partial list of members

© 2011 Maplesoft Conclusions from PMC 1.Need more effective plant modeling tools. Need to decrease the time it takes to produce good plant models. 2.Need to increase the practicing engineer’s ability to produce more formal “correct” models. 3.Need a modern balance between rigor and practice – Something called “Physical modeling” is a big part of this.

© 2011 Maplesoft Assertions 1.Even with a technology strategy, we are currently not getting to the conceptual core of engineering modeling. 2.Industry is undergoing a major transformation and we stand to fall behind in our pedagogy. 3.New software promises to reconcile theory with application and design in industry, research, and ultimately in the classroom

© 2011 Maplesoft Physical Modeling and MapleSim Assemble models with meaningful components Complete set of simulation solvers 2D and realistic 3D visualization Full display of model equations Powered by Maple Professional tool with connectivity to industrial toolchains

© 2011 Maplesoft My ‘Wow’ Moment

© 2011 Maplesoft My ‘Wow’ Moment

© 2011 Maplesoft My ‘Wow’ Moment

© 2011 Maplesoft Demonstration

© 2011 Maplesoft Motivation for physical modeling You still need to manually derive DEs Computer implementation is abstract Are you teaching the concept or the tool? Are you making the connections?

© 2011 Maplesoft Benefits of physical modeling Physical model diagrams map directly to the system Can we see the math?

© 2011 Maplesoft Pedagogical goal Concepts ∙ Science ∙ Math ∙ Requirements ∙ Systems ∙ Theory Experiments ∙ Validation ∙ Reality ∙ Intuition ∙ RT simulation Models ∙ Virtual Simulation ∙ Visualization ∙ Parameters ∙ Design An effective bridge between theoretical concepts and realistic design applications

© 2011 Maplesoft ElectricalMechanical Signal Flow/Control Bonus benefit: multidomain modeling Easily connect mechanical with electrical, hydraulics, thermal systems Mix physical components with signal flow Mathematical consistency ensured by symbolic engine

© 2011 Maplesoft Bonus benefit: Real-time simulation and control Plant model Analysis Controller design MapleSim equation and code generation Controller implementation Real-time management Embedded controller Data acquisition Model development from months to days Highly optimized (fastest) models for RT research Extended analysis Gateway to research and industry System HIL Simulation

© 2011 Maplesoft Conclusions Reduce model development time from months to days Realize previously infeasible models Quickly test new model formulations Maximum speed for real-time Natural fit with Simulink Research Bring theory to life without sacrificing rigor Respond to emerging trends in industry Control, engineering modeling, robotics, mechatronics, machine design, etc. Education

© 2011 Maplesoft Teach the concept or the tool? Teach the concept and the toolchain (a methodology) Take every opportunity to extend the conceptual boundaries (theoretical or practical) Individual tools should be easy enough so that particulars need minimal instruction Build bridges not walls

© 2011 Maplesoft Questions?