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4-035-ParEstSteadyState-ModelingScenario

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

Keywords: driver steady state sum of square errors

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Abstract

Resource Image Students estimate parameters in a second order, linear, ordinary differential equations through analysis of the steady state solution. By applying a driver we can collect data in terms of the parameters and estimate these parameters

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

We attempt to estimate parameters for a spring-mass-dashpot model differential equation in which the mass is known (m = 4 kg) but the spring constant, k N/m, and the resistance coefficient, c N/(m/s), are unknown. We will subject the device/system to a driver force we control and use the output steady state data to estimate parameters c and k. This is a form of input output analysis in which we input a driver, analyze the output, and tell something about the device or model.

 

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Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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