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$(instance)MassDamperSpringFixedTest Icon

MassDamperSpringFixedTest

A system with a Mass, Damper, Spring and a Fixed component

Usage

MassDamperSpringFixedTest()

Behavior

\[ \begin{equation} \left[ \begin{array}{c} \mathrm{connect}\left( spring_{+}flange_{a}, body_{+}flange_{a}, damper_{+}flange_{a} \right) \\ \mathrm{connect}\left( spring_{+}flange_{b}, damper_{+}flange_{b}, ground_{+}flange \right) \\ \mathtt{damper.s\_rel}\left( t \right) = \mathtt{damper.flange\_b.s}\left( t \right) - \mathtt{damper.flange\_a.s}\left( t \right) \\ \mathtt{damper.v\_rel}\left( t \right) = \frac{\mathrm{d} \mathtt{damper.s\_rel}\left( t \right)}{\mathrm{d}t} \\ \mathtt{damper.flange\_b.f}\left( t \right) = \mathtt{damper.f}\left( t \right) \\ \mathtt{damper.flange\_a.f}\left( t \right) = - \mathtt{damper.f}\left( t \right) \\ \mathtt{damper.f}\left( t \right) = \mathtt{damper.d} \mathtt{damper.v\_rel}\left( t \right) \\ \mathtt{damper.lossPower}\left( t \right) = \mathtt{damper.f}\left( t \right) \mathtt{damper.v\_rel}\left( t \right) \\ \mathtt{spring.s\_rel}\left( t \right) = - \mathtt{spring.flange\_a.s}\left( t \right) + \mathtt{spring.flange\_b.s}\left( t \right) \\ \mathtt{spring.flange\_b.f}\left( t \right) = \mathtt{spring.f}\left( t \right) \\ \mathtt{spring.flange\_a.f}\left( t \right) = - \mathtt{spring.f}\left( t \right) \\ \mathtt{spring.f}\left( t \right) = \mathtt{spring.c} \left( - \mathtt{spring.s\_rel0} + \mathtt{spring.s\_rel}\left( t \right) \right) \\ \mathtt{body.flange\_a.s}\left( t \right) = - \frac{1}{2} \mathtt{body.L} + \mathtt{body.s}\left( t \right) \\ \mathtt{body.flange\_b.s}\left( t \right) = \frac{1}{2} \mathtt{body.L} + \mathtt{body.s}\left( t \right) \\ \mathtt{body.v}\left( t \right) = \frac{\mathrm{d} \mathtt{body.s}\left( t \right)}{\mathrm{d}t} \\ \mathtt{body.a}\left( t \right) = \frac{\mathrm{d} \mathtt{body.v}\left( t \right)}{\mathrm{d}t} \\ \left( \mathtt{body.a}\left( t \right) + \mathtt{body.g} \sin\left( \mathtt{body.theta} \right) \right) \mathtt{body.m} = \mathtt{body.flange\_b.f}\left( t \right) + \mathtt{body.flange\_a.f}\left( t \right) \\ \mathtt{ground.flange.s}\left( t \right) = \mathtt{ground.s0} \\ \end{array} \right] \end{equation} \]

Source

# A system with a Mass, Damper, Spring and a Fixed component
test component MassDamperSpringFixedTest
  damper = Damper(d=1)
  spring = Spring(c=1)
  body = Mass(m=1, L=0)
  ground = Fixed()
relations
  connect(spring.flange_a, body.flange_a, damper.flange_a)
  connect(spring.flange_b, damper.flange_b, ground.flange)
metadata {
  "JuliaSim": {
    "tests": {
      "case1": {
        "stop": 20,
        "initial": {"body.flange_b.s": 0, "damper.flange_b.f": 0},
        "atol": {"body.v": 0.001},
        "expect": {"final": {"body.v": 0}}
      }
    }
  }
}
end
Flattened Source
# A system with a Mass, Damper, Spring and a Fixed component
test component MassDamperSpringFixedTest
  damper = Damper(d=1)
  spring = Spring(c=1)
  body = Mass(m=1, L=0)
  ground = Fixed()
relations
  connect(spring.flange_a, body.flange_a, damper.flange_a)
  connect(spring.flange_b, damper.flange_b, ground.flange)
metadata {
  "JuliaSim": {
    "tests": {
      "case1": {
        "stop": 20,
        "initial": {"body.flange_b.s": 0, "damper.flange_b.f": 0},
        "atol": {"body.v": 0.001},
        "expect": {"final": {"body.v": 0}}
      }
    }
  }
}
end

Test Cases

Test Case case1