Acoustics & Vibration

Acoustics & Wave Simulators

Standing waves, room acoustics, sound absorption, Doppler effect, and ultrasound — interactive acoustic engineering tools for students and professionals.

— simulators

SIMULATORS

Acoustic Impedance Tube

Standing wave tube simulator for acoustics. Adjust frequency, tube length, and boundary conditions to visualize pressure distribution and resonance frequencies

Acoustic Impedance

Calculate acoustic impedance, reflection/transmission coefficients, and loss instantly. Visualize wave behavior with animated diagrams for any two-medium interf

Acoustic Resonance

Explore acoustic resonance in wind instruments with interactive simulations. Adjust pipe length, temperature, and harmonics to visualize standing waves in open/

Acoustic Standing Wave

Visualize acoustic standing waves in tubes. Interactive simulator shows mode shapes, natural frequencies, and formulas for open, closed, and half-open resonator

Acoustics Room

Calculate RT60 reverberation time for any room. Input dimensions, materials, and target frequency to compare Sabine & Eyring formulas across 6 octave bands.

Doppler Effect Sim

Visualize the Doppler Effect in real-time. See sound waves compress and stretch, calculate observed frequency, and experience shock waves as a source moves.

Doppler Effect

Interactive Doppler Effect simulator — calculate and visualize engineering parameters in real time using industry-standard methods.

Noise Attenuation

Calculate sound pressure level (SPL) vs. distance for point & line sources using ISO 9613-2, including atmospheric absorption, barrier loss, and ground effects.

Noise Barrier

Calculate noise barrier insertion loss in real time using the Maekawa diffraction formula. Visualize geometry and view the full frequency spectrum.

Noise Level

Calculate combined noise from up to 5 sources with distance, atmospheric, and A-weighting corrections for point or line sources.

Noise Vibration

Calculate noise levels with our real-time dB tool for SPL, distance, A-weighting, and source combination. Compare decay curves and source dominance.

Octave Band

Enter noise levels for 9 octave bands (31.5–8kHz) and instantly calculate A/C/Z-weighted SPL, overall sound pressure level, Zwicker loudness (sone/phon), and NC

Resonance Frequency

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

Room Acoustics

Simulate room acoustics with Sabine & Eyring equations. Set dimensions & materials to compute T60 reverberation time across octave bands and compare to standard

Sound Absorption

Calculate RT60 reverberation time instantly. Input room dimensions and materials for acoustic analysis of halls, studios, and more using Sabine & Eyring formula

Sound Level

Calculate combined sound pressure levels, distance attenuation, and A-weighting corrections for noise analysis. Compare results with WHO/ISO standards.

Sound Wave Audio

Visualize sound waves in real time. Adjust frequency, waveform, and amplitude. See particle oscillation animations and hear the resulting sound simultaneously.

Standing Wave String

Simulate string standing waves in real-time with adjustable parameters. Visualize nodes, antinodes, and the frequency spectrum. Explore resonance physics intera

String Resonance

Visualize string eigenmodes in real time. Compute fundamental frequency and harmonics from tension, density, and length with this wave simulator.

Echo Delay Distance

Calculate distance from echo delay time and air temperature. Visualize how speed of sound varies with temperature.

Sound Decibel Scale

Calculate sound pressure level in decibels and compare with everyday sounds using an interactive dB scale.

Other Categories

Structural Analysis Fluid & CFD Thermal Analysis Electromagnetics Vibration & Dynamics Fracture & Materials Controls & Signal Math & Numerical V&V & Accuracy Manufacturing Physics & Basics Mechanical Design Geotechnical Chemistry & Biochem Optics Quantum & Nuclear Space Environment

Acoustics Engineering Fundamentals

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Why does sound change pitch when an ambulance passes? Can the simulator show this?

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That's the Doppler effect: f_observed = f_source × (c ± v_observer)/(c ∓ v_source). As the source approaches you, the wavefronts compress → higher pitch; as it recedes, they stretch → lower pitch. At 340 m/s sound speed and a vehicle at 60 km/h, the frequency shift is about ±5%.

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How does room shape affect reverberation time?

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Sabine's formula: T60 = 0.161×V/A, where V is room volume and A = ∑(αi×Si) is total sound absorption (absorption coefficient × surface area). Large, hard-surfaced rooms (churches) have T60 > 3 s; studios aim for T60 < 0.5 s. Diffusers scatter reflections to even out the decay.

Frequently Asked Questions (FAQ)

Q: How is the resonant frequency of a Helmholtz resonator calculated?

A: f = (c/2π) × √(A/(V×L_eff)), where A is the neck cross-section area, V is cavity volume, and L_eff = L_neck + 0.85√A is the effective neck length including end correction. Used in bass traps and automotive exhaust tuning.

Q: What is acoustic impedance and why does it matter?

A: Acoustic impedance Z = ρ×c (Pa·s/m). Impedance mismatch causes reflections: reflection coefficient = (Z2-Z1)/(Z2+Z1). Water-to-air transition reflects >99.9% of energy — that's why ultrasound gel is needed for medical imaging.

Q: How does a muffler reduce noise?

A: Reactive mufflers use expansion chambers and quarter-wave resonators to reflect sound waves back to the source. Dissipative mufflers use absorbing liners. Transmission loss at frequency f ≈ 10×log10(1 + (m/2)²) for a simple expansion, where m = S2/S1.

Q: What is the difference between sound intensity and sound pressure level?

A: SPL (dB) = 20×log10(p/p0) with p0 = 20 μPa. Intensity level IL = 10×log10(I/I0) with I0 = 10⁻¹² W/m². For a plane wave they are numerically equal in free field. SPL is easier to measure; intensity gives directional information.