MSMS_Lec_03-1

# MSMS_Lec_03-1 - MSMS Lecture 3 Variables Sources Energy stores Quiz(our power variable table COMSOL 1 1 fo40 o f 42 1 of 51 Synthesis of 3 subjects

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1 of 40 1 of 42 1 of 51 MSMS: Lecture 3 Energy stores Quiz (our power variable table) COMSOL

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2 of 40 2 of 42 Synthesis of 3 subjects Analytical dynamics System dynamics DAEs Analytical System Dynamics
3 of 40 3 of 42 Power postulate The power P of the j th component in a system is the product of effort e and flow f such that the total power of the system is N N j j j j j P P e f = E P dt ef dt = Energy Power

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4 of 40 4 of 42 Relationship between power and energy variables. Integral form Differential form Kinematic requirement Dynamic requirement p edt = q f dt = q f = p e = &
5 of 40 5 of 42 Effort e Flow f Power ef Voltage V [V] Current i [A] Force F [N] Velocity v [m/s] Torque Γ [Nm] Frequency ϖ [rad/s] Pressure P [N/m 2 ] Volume rate Q [m 3 /s] Temperature T [K] Entropy rate [J/Ks] Vi Fv Γ PQ TS Electrical Mechanical translational Mechanical rotational Fluid Thermal E n e r g y d o m a i P w v b l S &

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6 of 40 6 of 42 displacement q momentum p Charge q [C] Flux linkage λ [Vs] Displacement x [m] Momentum p [Ns] Angle θ [rad] Angular momentum L [Nms] Volume V [m 3 ] Pressure momentum p P [Ns/m 3 ] Entropy S [J/K] Not defined Electrical Mechanical translational Mechanical rotational Fluid Thermal E n e r g y d o m a i v b l q i dt V dt = = q i V = = x v dt p F dt = = x v p F = = dt L dt θ ϖ = = Γ L = = Γ P V V dt p P dt = = P V V p P = = S S dt = S S = q f dt p edt = = q f p e = = &
7 of 40 7 of 42 Examples of some constitutive laws:

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## This note was uploaded on 12/04/2011 for the course ECE 595 taught by Professor Staff during the Spring '08 term at Purdue University-West Lafayette.

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MSMS_Lec_03-1 - MSMS Lecture 3 Variables Sources Energy stores Quiz(our power variable table COMSOL 1 1 fo40 o f 42 1 of 51 Synthesis of 3 subjects

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