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Modelling tutorial

Modules

1. Lumped-element Systems
2. Distributed Element Systems
3. Reduced-order Models

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Electro-mechanical Analogy

  • Hypothesis: mechanical system is composed of ideal components carrying either
            • Kinetic energy or
            • Potential energy or
            • Are of purely dissipative behaviour
  • Approximation that can be used under the condition that the system components are much smaller than the wavelength of an acting signal
  • Basic variables used in the description of translational mechanical systems
            • Force, F
            • Velocity, v
  • Basic one-port components
            • Mass, m

            • Compliance, c


u ... displacement


k ... spring factor

            • Resistance, r

Mechanical system can be symbolized by a circuit composed of three basic elements as shown in the following figure:

  • Assignments of variables
            • Force as an effort variable
            • Velocity as a flow variable

  • Conventions
            • Effort-to-Voltage convention

Called electro-mechanical analogy I

or direct electro-mechanical analogy

Will be used in this course

            • Flow-to-Voltage convention

Called electro-mechanical analogy II

1. Lumped-element Systems
2. Distributed Element Systems
3. Reduced-order Models

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