Interactive Workbenches in Mechanical & Thermal Dynamics
ISO Standards
Intermediate
Calculates closed-loop loop equations using Freudenstein coordinates. Verifies the Grashof condition (s + l ≤ p + q), reveals transmission angles, and plots the kinematic path of an attached coupler point.
Equation: s + l \le p + q, \quad K_1 \cos\theta_4 - K_2 \cos\theta_2 + K_3 = \cos(\theta_2 - \theta_4)
Standard: ISO 13348 / ASME B105 / Freudenstein Analytical Kinematics
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ASME PTC 4.4
Advanced
Evaluates isobaric boiler heat addition, non-isentropic turbine expansion, isobaric heat rejection, and liquid pump compression. Quantifies cycle thermal efficiency η_th, turbine work, and back work ratio.
Equation: \eta_{th} = \frac{w_{net}}{q_{in}} = \frac{(h_1 - h_2) - (h_4 - h_3)}{h_1 - h_4}
Standard: ASME PTC 6 / IAPWS-IF97 (Steam Turbines & Industrial Power Plant Acceptance)
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ISO 10816
Fundamentals
Solves the 2nd-order non-homogeneous differential equation of a forced mechanical oscillator. Witness the sharp amplitude spike at resonance frequency ω_n and the 90° phase shift between excitation force and displacement.
Equation: m\ddot{x} + c\dot{x} + kx = F_0 \cos(\omega t), \quad M(\omega) = \frac{1}{\sqrt{(1-r^2)^2 + (2\zeta r)^2}}
Standard: ISO 10816-1 / ISO 1940-1 / ANSI S2.41 (Mechanical Vibration Evaluation)
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AGMA 2001 / ISO 6336
Intermediate
Constructs exact involute gear profiles from base circles at standard pressure angles (20°). Computes pitch circle diameters, pitch line velocity, contact ratio, and tooth bending stress.
Equation: r_b = r \cos \alpha, \quad CR = \frac{\sqrt{r_{a1}^2 - r_{b1}^2} + \sqrt{r_{a2}^2 - r_{b2}^2} - C\sin\alpha}{p_b}
Standard: AGMA 2001-D04 / ISO 6336 / DIN 3962 (Involute Spur Gear Rating & Geometry)
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