Vibration and Dynamics Simulators

Accelerometer Frequency Response Simulator

Modal Analysis

Accelerometer Frequency Response Simulator: An accelerometer is itself a tiny spring-mass-damper system.

Base Excitation Transmissibility Simulator

Base Excitation Transmissibility Simulator focuses on vibration or acoustic response and frequency behavior, giving a compact read on the current case and the trend that…

Base Isolation Period Shift Simulator

Seismic Dynamics

Base Isolation Period Shift Simulator focuses on vibration or acoustic response and frequency behavior, giving a compact read on the current case and the trend that matt…

Beam Vibration Modes — Natural Frequencies & Mode Shapes

Modal Analysis

Visualize and animate natural vibration modes for beams. Superimpose modes to see combined effects and explore natural frequencies.

Campbell Diagram Simulator — Rotor Critical Speeds

Rotor Dynamics

Campbell Diagram Simulator for rotor critical speeds: visualize whirl modes, gyroscopic effects, and engine-order intersections in real-time analysis.

Centrifugal Governor Simulator

Centrifugal Governor Simulator compares how control response, stability margin, and tuning assumptions shifts as the main assumptions change.

Cepstrum Analysis Simulator — Speech & Vibration Analysis

Cepstrum Analysis Simulator — Speech & Vibration Analysis compares how vibration or acoustic response and frequency behavior shifts as the main assumptions change.

Chladni Figures Simulator — Vibration Modes of a Square Plate

Modal Analysis

Chladni Figures Simulator — Vibration Modes of a Square Plate compares how member deformation, stress, and support assumptions shifts as the main assumptions change.

Coulomb Damping Simulator — Free Vibration with Dry Friction

Coulomb Damping Simulator for free vibration analysis with dry friction.

Shaft Critical Speed Simulator

Rotor Dynamics

Shaft Critical Speed Simulator: Find the "critical speed" of a rotating shaft carrying a disc.

Damped Natural Frequency Simulator

Modal Analysis

Damped Natural Frequency Simulator: Explore the damped free vibration of a single-degree-of-freedom mass-spring-damper system when it is displaced an…

Double Pendulum Chaos Simulator — Lagrangian Dynamics & RK4 Integration

Simulate chaotic double pendulum physics in real time. Adjust lengths, masses, and angles to explore Lagrangian mechanics and RK4 integration.

Drumhead Vibration Simulator — Bessel Modes of a Circular Membrane

Modal Analysis

Drumhead vibration simulator. Vary radius R, tension T, surface density ρ_s, and mode index to compute eigenfrequencies f_mn from the Bessel-zero α_mn in real time.

Eigenvalue Analysis

Modal Analysis

Interactive simulator for multi-DOF spring-mass systems. Calculate natural frequencies, visualize mode shapes with animation, and explore real-time frequency response.

Elastic Wave Propagation Simulator (P-wave & S-wave)

Visualize P-wave and S-wave propagation in solids with our . Calculate velocities, see waveforms, and explore elastic wave fundamentals.

Liquid Sloshing Analysis — Natural Frequencies & Equivalent Pendulum

Calculate sloshing natural frequencies in rectangular tanks. Adjust dimensions, fluid depth & density to analyze 5 modes with key formulas.

Foucault Pendulum Simulator — Earth Rotation Precession

Foucault pendulum simulator: latitude, length, g, and elapsed time give the swing period, precession rate, full-rotation time, and angle from Omega*s…

Natural Frequency & Vibration Mode Calculator — Beams & Strings

Modal Analysis

Calculate beam or string natural frequencies and vibration modes. Select boundary conditions, enter properties, and view animated results instantly.

Frequency Response Function (FRF) Calculator — Bode Plot, Resonance, Damping

Modal Analysis

Calculate Frequency Response Function (FRF) Bode plots in real-time. Input natural frequency & damping ratio to get resonance, Q factor, and half-power bandwidth.

Half-Power Bandwidth Damping Simulator

Half-Power Bandwidth Damping Simulator compares how electromagnetic, circuit, and transmission conditions shifts as the main assumptions change.

Harmonic Motion Simulator (SHM, Damped, Driven)

Compare simple harmonic, damped, and driven oscillations. Visualize resonance, Q-factor, and amplitude with interactive simulations and key physics equations.

Lamb Wave Dispersion Simulator — Plate S_0/A_0 Modes

Modal Analysis

Lamb wave dispersion simulator: real-time S_0 and A_0 phase velocity and wavelength for thin plates, with adjustable Young's modulus, density, frequency and thickness.

Lissajous Curves Simulator

Synthesize two orthogonal sinusoidal oscillations and observe beautiful Lissajous figure formation in real-time Canvas animation.

Lissajous Figures Simulator — Vibration & Wave Patterns

Explore Lissajous figures: a simulator to create intricate patterns by tuning frequency, phase, and damping of two perpendicular oscillations.

Lissajous Figure & Vibration Synthesis Simulator

Synthesize two sine waves to create Lissajous figures. Adjust frequency, amplitude, and phase in real time and explore open or closed periodic curves.

Logarithmic Decrement Damping Simulator

Modal Analysis

Logarithmic Decrement Damping Simulator compares how vibration or acoustic response and frequency behavior shifts as the main assumptions change.

Magnetic Pendulum Chaos Simulator — Fractal Basin of Attraction

Explore chaotic motion with a magnetic pendulum simulator. Visualize fractal basins of attraction by color-coding each point's final magnet.

3-DOF Mass-Spring System & Dynamic Vibration Absorber Simulator

Explore a 3-DOF mass-spring system. Adjust parameters, analyze vibrations, and add a Dynamic Vibration Absorber (DVA) to see its effect.

1D FEM Modal Analysis Simulator — Natural Frequencies & Mode Shapes

Modal Analysis

Simulate 1D rod vibration modes. Assemble stiffness & mass matrices, solve eigenvalue problems, and animate mode shapes with this FEM modal analysis tool.

Modal Analysis Simulator — 2-DOF Spring-Mass System

Modal Analysis

Explore natural frequencies, mode shapes, and FRF in real time. Adjust mass and stiffness in a 2-DOF spring-mass simulator with live animations.

Nonlinear Vibration Calculator

Visualize Duffing oscillator dynamics: frequency response curves, hardening/softening springs, jump phenomenon, and backbone curve via harmonic balance method.

Parametric Oscillator Simulator — Mathieu Equation, Stability Diagram

Modal Analysis

Simulate parametric resonance with the Mathieu equation. Adjust modulation to explore stability diagrams, time-domain responses, and phase portraits.

Large-Amplitude Pendulum Simulator — Period vs Amplitude

Large-amplitude pendulum simulator: real-time small-angle period T0=2pi*sqrt(L/g) and exact period via elliptic integral K(k), with period error and potential energy.

Pendulum Wave Simulator

Watch 15 pendulums create mesmerizing waves, spirals, and chaos through precise physics. A stunning visual demonstration of harmonic motion.

Rayleigh-Ritz Method Natural Frequency Estimator

Modal Analysis

Visualize the Rayleigh-Ritz method: adjust an assumed mode shape and see the frequency converge. Understand the upper-bound theorem for natural vibration analysis.

Resonance Frequency Simulator — Forced Vibration, Q Factor & Damping

Explore resonance with a real-time simulator. Adjust mass, stiffness, and damping to visualize curves and calculate Q factor, bandwidth, and phase lag.

Response Spectrum Simulator — SDOF Seismic Design Response

Seismic Dynamics

Response Spectrum Simulator — SDOF Seismic Design Response focuses on vibration or acoustic response and frequency behavior, giving a compact read on the current case an…

Rotating Unbalance Vibration Simulator

Rotor Dynamics

Rotating Unbalance Vibration Simulator: Analyse the unbalance vibration of spring-supported rotating machinery such as motors, fans and pumps.

Rotor Balancing Simulator

Rotor Dynamics

When a fan, an impeller or a grinding wheel vibrates, the cause is almost always mass unbalance.

Rotor Dynamics Critical Speed Calculator

Rotor Dynamics

Calculate rotor critical speed and unbalance response. Input mass, stiffness, eccentricity, and damping. Visualize the response curve and see animations.

Random Vibration Analysis Tool (PSD Input)

Seismic Dynamics

Analyze SDOF random vibration response in real time. Compute response spectrum, RMS, and 3-sigma values from your input PSD with adjustable 3-segment profiles.

SDOF Frequency Response Analysis Tool

Real-time frequency response function (FRF) calculator for single-degree-of-freedom systems.

Seismic Design Simulator — Response Spectrum & Story Shear

Seismic Dynamics

Real-time seismic design simulator: compute base shear, period, and story drift. Adjust building stories and site class for instant analysis.

Seismic Hazard Response Spectrum Calculator — Sa(T) & Base Shear

Seismic Dynamics

Seismic design spectrum calculator for building natural period and soil type.

Seismic Isolation Analysis Tool — Natural Period, Displacement & Response Spectrum

Seismic Dynamics

Analyze seismic isolation performance by adjusting building mass, stiffness, damping, and soil type.

Seismic Response Spectrum (Sa/Sv/Sd) Simulator

Seismic Dynamics

Seismic Response Spectrum (Sa/Sv/Sd) Simulator compares how environmental or chemical-process balance and operating margin shifts as the main assumptions change.

Seismic Response Spectrum Calculator

Seismic Dynamics

Interactively compute design response spectra (Japan Building Code / ASCE/SEI 7 simplified model) and SDOF seismic response. Visualize Sa, Sv, Sd spectra in real time.

Shock Absorber / Vehicle Suspension Analysis

Simulate vehicle suspension dynamics with the quarter-car model. Analyze ride comfort per ISO 2631 standards and vibration transmissibility for optimal handling.

Shock Response Spectrum Simulator

Seismic Dynamics

Shock Response Spectrum Simulator: Numerically integrate the response of a single-degree-of-freedom (SDOF) system to a half-sine shock pulse.

Spring Constant Calculator — Coil Spring, Leaf Spring & Natural Frequency

Modal Analysis

Calculate spring constant, solid length, index, and frequency for helical and leaf springs with our free real-time calculator.

Spring-Dashpot Viscoelastic Model Simulator — Maxwell & Kelvin-Voigt

Spring-Dashpot Viscoelastic Model Simulator — Maxwell & Kelvin-Voigt compares how vibration or acoustic response and frequency behavior shifts as the main assumptions ch…

Spring-Mass Oscillation Simulator

Explore a 1DOF spring-mass-damper simulator. Adjust parameters in real-time to visualize overdamped, critically damped, and underdamped vibrations.

Spring Pendulum (Elastic Pendulum) Simulator — Parametric Resonance & Chaos

Simulate a spring pendulum's nonlinear dynamics. Watch parametric resonance, energy transfer, and a colored trail showing 600-point motion history.

Spring-Mass-Damper System Analyzer (Static & Dynamic)

Analyze series, parallel & mixed spring-mass-damper systems. Calculate static deflection, natural frequency, damping ratio, and dynamic step response.

Standing Wave Modes on a String

Standing Wave Modes on a String: Visualize standing waves (fundamental and harmonics) on a string in real-time animation.

Stick-Slip Friction Simulator — Self-Excited Vibration

Stick-slip friction simulator for self-excited vibration analysis.

String Vibration Frequency Simulator

Modal Analysis

String Vibration Frequency Simulator focuses on vibration or acoustic response and frequency behavior, giving a compact read on the current case and the trend that matte…

Structural Dynamic Response Simulator (SDOF)

Simulate structural dynamics with an SDOF system. Apply harmonic, impulse, random, or El Centro ground motion and compute response via RK4. View real-time plots.

Torsional Pendulum Simulator — Natural Frequency & Period Calculator

Modal Analysis

Simulate torsional pendulums. Adjust shaft & disk parameters to instantly compute natural frequency, stiffness, and period. Visualize oscillations.

Torsional Vibration Analysis — Multi-DOF Shaft System

Rotor Dynamics

Compute natural frequencies, mode shapes & Campbell diagrams for 2–4 disc torsional shaft systems. Identify critical speeds for engines and turbines in real time.

Tuned Mass Damper Simulator

Tuned Mass Damper Simulator focuses on vibration or acoustic response and frequency behavior, giving a compact read on the current case and the trend that matters next.

2-DOF Coupled Vibration & Dynamic Absorber Simulator

Simulate Tuned Mass Dampers (TMD) in real-time. Compare frequency response curves, observe anti-resonance, and apply Den Hartog's optimal tuning rules. .

Tuned Mass Damper (TMD) Simulator — Den Hartog Optimal Design

Optimize TMD design with Den Hartog's method. Adjust mass ratio and damping to suppress vibration peaks in this interactive simulator.

Vibration Signal Analyzer (Machinery Diagnostics)

Simulate bearing defects, imbalance & misalignment. Learn machine health monitoring principles with FFT and envelope analysis for predictive maintenance.

Vibration Damping Simulator — SDOF Damped Response & Logarithmic Decrement

Explore SDOF damped vibration responses in real-time. Adjust mass, stiffness, and damping to compare underdamped, critically damped, and overdamped systems.

Vibration Isolation Mount Design Calculator

Vibration Isolation Mount Design Calculator compares how vibration or acoustic response and frequency behavior shifts as the main assumptions change.

Vibration Isolator Simulator — Transmissibility TR & Frequency Ratio

Vibration isolator simulator for transmissibility analysis.

Vibration Measurement Analysis Tool — Acceleration/Velocity/Displacement & ISO 10816

Convert vibration data between acceleration, velocity & displacement. Get ISO 10816 health ratings and visualize A-weighted spectra instantly.

Vibration Fatigue PSD Stress Calculator — Steinberg 3σ Method

Calculate RMS stress, peak stress, and fatigue life using the Steinberg 3σ method for vibration analysis with PSD input. .