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curriculum module
created with r2020b. compatible with r2020b and later releases.

description

this curriculum module contains interactive and that explore mass-spring-damper systems. students learn to create and work with mass-spring-damper models in guided activities. these techniques are motivated by two applications: tuning the damping of a vehicle’s suspension and analyzing a building’s response to an earthquake. throughout the module, students apply simulink models to study the dynamics of the physical systems. in the final lesson, students identify the resonant frequencies of a mass-spring-damper building model by computing the power spectrum of a displacement signal. these lessons can be used as part of a lecture, as activities in an instructional setting, or as interactive assignments to be completed outside of class.

learning goals

• construct free body diagrams and derive the equations of motion for mass-spring-damper systems
• relate the mass, spring, and damper to their corresponding components in a physical system
• create models that solve ordinary differential equations in simulink
• use the symbolic math toolbox to help create simulink models
• complete simulink mass-spring-damper models with 1, 2, and n degrees of freedom
• relate parameter values to the dynamics of mass-spring-damper systems
• tune the damping of a vehicle suspension model to meet requirements
• identify the resonant modes of a mass-spring-damper building model

the instructions inside the live scripts will guide you through the exercises and activities. get started with each live script by running it one section at a time. to stop running the script or a section midway (for example, when an animation is in progress), use the stop button in the run section of the live editor tab in the matlab toolstrip.

suggested prework

– a free two-hour introductory tutorial that teaches the essentials of matlab.
– a free three-hour introductory tutorial that teaches the essentials of simulink.

details

massspringdamper.mlx, massspringdampersoln.mlx
an interactive lesson that teaches how to model a single mass-spring-damper in simulink. students apply their knowledge to tune the damping of a vehicle’s suspension system.

doublemassspringdamper.mlx, doublemassspringdampersoln.mlx
an interactive lesson that teaches how to model a double mass-spring-damper in simulink. students apply their knowledge to identify the resonant frequencies present in a two-story building model.

multiplemassspringdamper.mlx, multiplemassspringdampersoln.mlx
students practice more advanced skills in this lesson, such as vectorizing a simulink model and using the spectrum analyzer block to compute the power spectrum.

models/
simulink models used during the guided activities. starter models and their completed solutions are included.

products

matlab®, symbolic math toolbox™, simulink

license

the license for this module is available in the file in this github repository.

educator resources

have any questions or feedback? contact the

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