Mechanical & Thermal Dynamics Simulators Hub & Curricular Syllabus (ME-400)

Department Syllabus Overview & Curricular Subfields

The Mechanical & Thermal Dynamics curriculum covers key fundamental and advanced topics across undergraduate and postgraduate coursework. Interactive solvers replace static derivations with live dynamic parameter testing:

Referenced International Consensus Standards (16)

Mathematical boundaries, physical tolerance thresholds, and sizing criteria across Mechanical & Thermal Dynamics conform to published industry codes:

Interactive Engineering Simulators (8 Active Workbenches)

• Planar 4-Bar Grashof Kinematics & Coupler Curves →

  ISO Standards • Intermediate Level

  Synthesize crank-rocker vs double-crank inversions and trace continuous coupler point trajectories.

  Governing Formulation: `s + l ≤ p + q, K_1 cosθ_4 - K_2 cosθ_2 + K_3 = cos(θ_2 - θ_4)`
  Standard: ISO 13348 / ASME B105 / Freudenstein Analytical Kinematics

• Thermodynamic Rankine Steam Power Cycle →

  ASME PTC 4.4 • Advanced Level

  Track steam expansion through high-pressure boilers, turbines, condensers, and feed pumps on a T-s diagram.

  Governing Formulation: `η_th = (w_net / q_in) = ((h_1 - h_2) - (h_4 - h_3) / h_1 - h_4)`
  Standard: ASME PTC 6 / IAPWS-IF97 (Steam Turbines & Industrial Power Plant Acceptance)

• Damped Forced Harmonic Oscillator & Resonance Peak →

  ISO 10816 • Fundamentals Level

  Visualize mass-spring-damper resonance, phase lag φ(ω), and displacement amplification M(ω).

  Governing Formulation: `mẍ + cẋ + kx = F_0 cos(ω t), M(ω) = (1 / √((1-r^2)^2 + (2ζ r)^2))`
  Standard: ISO 10816-1 / ISO 1940-1 / ANSI S2.41 (Mechanical Vibration Evaluation)

• Involute Spur Gear Mesh Dynamics & Backlash →

  Involute Spur Gearing • Intermediate Level

  Track tooth contact along the line of action, verify contact ratio CR ≥ 1.4, and check sliding velocity.

  Governing Formulation: `r_b = r cos α, CR = (√(r_a1^2 - r_b1^2) + √(r_a2^2 - r_b2^2) - Csinα / p_b)`
  Standard: Involute Gear Geometry & Contact Ratio (Textbook Benchmark)

• Otto & Diesel Internal Combustion Thermodynamic Cycles →

  Thermodynamic Cycles • Intermediate Level

  Analyze 4-stroke spark-ignition and compression-ignition P-V diagrams with moving piston kinematics.

  Governing Formulation: `η_Otto = 1 - (1 / r^γ - 1), η_Diesel = 1 - (1 / r^γ-1) [ (r_c^γ - 1 / γ(r_c - 1)) ]`
  Standard: ASME PTC 17 (Reciprocating Internal-Combustion Engines) / SAE J1349

• Projectile Motion & Ballistics with Aerodynamic Drag →

  Newtonian Mechanics • Fundamentals Level

  Compare ideal vacuum parabolic trajectory against realistic quadratic atmospheric air drag.

  Governing Formulation: `m (dvec(v) / dt) = mvec(g) - (1 / 2)ρ C_d A |vec(v)|vec(v)`
  Standard: STANAG 4355 (Modified Point Mass Trajectory Model) / ISO 1151 (Flight Dynamics)

• Centrifugal Pump & System Hydraulic Operating Point →

  HI 14.6 / ISO 9906 • Intermediate Level

  Find the duty point (Q_duty, H_duty), evaluate affinity laws, hydraulic efficiency, and NPSHr margin.

  Governing Formulation: `H = H_0 - k_p Q^2, H_sys = H_stat + k_pipe Q^2, (Q_1 / Q_2) = (N_1 / N_2), (H_1 / H_2) = ((N_1 / N_2))^2`
  Standard: HI 14.6 (Rotodynamic Pumps for Hydraulic Performance Acceptance Tests) / ISO 9906 / ASME PTC 8.2

• Vapor-Compression Refrigeration & Heat Pump Cycle →

  ASHRAE 15 / ISO 5149 • Intermediate Level

  Plot the P-h diagram, evaluate evaporator subcooling/superheat, compressor isentropic efficiency, and COP.

  Governing Formulation: `COP _R = (q_in / w_net) = (h_1 - h_4 / h_2 - h_1), COP _HP = COP _R + 1, η_II = ( COP _R / COP _Carnot)`
  Standard: ASHRAE Standard 15 / ISO 5149 / AHRI 550/590 (Safety Standard for Refrigeration Systems & Heat Pumps)