The Potential for Maple and MapleSim to Energize the Curriculum to Meet Emerging Needs of 21st 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 Things oscillate and die down Things oscillate more violently Things oscillate and blow up

Things just blow up Things die down faster Things just die down Nothing much happens Things blow up faster Lets explore this a bit

2011 Maplesoft Why is this important? Time response ? Roots Eigenvalues? Frequency response? ?

? ? DE solution Transfer functions ? Root locus? Differential equations ?

Convolution? 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 Time response Roots

Engineering mathematics exists only to model real systems The purpose of modeling is insight and design not numbers DE not mathsolution not necessarily even applications Transfer functions Differential equations 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 Tasks Emerging challenges in Model Based Design 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) OEM Toyota Daimler GM Audi Volkswagen Ford Renault Fiat Honda

Jaguar & Rover Suppliers Solutions Universities Bosch Denso Hitachi Fujitsu Magna JATCO Maplesoft

IAV Emmeskay dSpace ETAS Modelon AVL U Waterloo UC Berkeley Lund U TU Berlin U Michigan U Birmingham McGill U 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 engineers 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 An An effective effective bridge bridge between between theoretical theoretical concepts concepts and and realistic realistic design

design applications applications Models Science Math Requirements Systems Theory Virtual Simulation Science Math Requirements Systems Theory Visualization Science Math Requirements Systems Theory Parameters Science Math Requirements Systems Theory Design Experiments Science Math Requirements Systems Theory Validation Science Math Requirements Systems Theory Reality Science Math Requirements Systems Theory Intuition Science Math Requirements Systems Theory RT simulation Concepts Science Math Requirements Systems Theory Science Science Math Requirements Systems Theory Math Science Math Requirements Systems Theory Requirements Science Math Requirements Systems Theory Systems Science Math Requirements Systems Theory Theory 2011 Maplesoft Bonus benefit: multidomain modeling Electrical Mechanical

Signal Flow/Control 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 Controller implementation Real-time management MapleSim equation and code generation

Embedded controller Data acquisition Model development from months to days Plant model Analysis Controller design Highly optimized (fastest) models for RT research Extended analysis Gateway to research and industry System HIL Simulation

2011 Maplesoft Conclusions Education Research Bring theory to life without sacrificing rigor

Reduce model development time from months to days Respond to emerging trends in industry Realize previously infeasible models

Control, engineering modeling, robotics, mechatronics, machine design, etc. Quickly test new model formulations Maximum speed for real-time

Natural fit with Simulink 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? 2011 Maplesoft