More from Engineering
Other simulators in this category — or see all 48.
de Laval Nozzle Mach Number
Quasi-1D converging-diverging nozzle: area-Mach relation, choking pressure ratio, subsonic/supersonic branches, and a qualitative normal-shock mode.
Torsional Drivetrain Resonance
Two-inertia torsional drivetrain: shaft stiffness and damping, twist angle, first natural mode, resonance response, and optional backlash deadzone.
Cart–Pole: LQR vs MPC vs PID
Nonlinear cart inverted pendulum: linearize about upright φ = θ, discrete-time LQR from DARE (Q, R → K), finite-horizon LQ MPC with DARE terminal cost, and hand-tuned PID — same force limit, kicks, and plant as the mechanics cart-pole.
Bode & Nyquist from Pole–Zero Map
Click the s-plane to place real or complex-conjugate poles (●) and zeros (×); G(s)=K∏(s−z)/∏(s−p). Live Bode magnitude/phase and Nyquist plot with −1 point; phase and gain margins from principal crossings (teaching heuristics).
Root Locus: 1 + K·G(s) = 0
Same pole–zero plant editor as the Bode/Nyquist map: trace closed-loop poles as K sweeps log-spaced, asymptotes and real-axis locus sketch, Durand–Kerner roots at the current K; characteristic D(s)+K g₀ N₀(s)=0.
Particle Filter Localization (MCL)
1D or 2D toy robot with fixed range beacons: predict with noisy odometry, update with Gaussian range likelihood, systematic resample on low ESS; weighted mean vs ground truth.