Measure shock displacement precisely. Analyze pulse duration, damping, and force response. Turn impact inputs into practical motion estimates today.
| Case | Pulse Type | Amplitude (g) | Duration (ms) | Mass (kg) | Damping Ratio | Natural Frequency (Hz) |
|---|---|---|---|---|---|---|
| Example 1 | Half Sine | 20 | 15 | 5.0 | 0.08 | 12 |
| Example 2 | Rectangular | 12 | 10 | 3.2 | 0.05 | 18 |
| Example 3 | Triangular | 30 | 8 | 7.5 | 0.12 | 9 |
This shock displacement calculator uses a damped single degree of freedom model. It starts by converting shock amplitude from g units into acceleration. Then it estimates a static equivalent displacement and scales it with a dynamic amplification factor.
1. Convert amplitude into acceleration
a = A × g
2. Natural circular frequency
ωn = 2πfn
3. Damped circular frequency
ωd = ωn √(1 − ζ²)
4. Static equivalent displacement
xstatic = a / ωn²
5. Dynamic amplification factor
DAF = 1 / √[(1 − r²)² + (2ζr)²]
Here, r is a pulse-to-system frequency ratio. The calculator adapts this ratio according to the selected pulse shape.
6. Peak shock displacement
xpeak = xstatic × DAF × safety factor
7. Transmitted force
F = mωn²xpeak
This approach gives a practical engineering estimate. It is useful for screening, comparisons, and vibration isolation studies.
Choose the pulse shape that best represents your shock event. Enter the shock amplitude in g and the pulse duration in milliseconds. Add the supported mass, damping ratio, and natural frequency of the system.
Next, confirm the gravity constant and apply a safety factor when conservative design is needed. Press the calculate button. The result block will appear above the form and below the page header.
Review peak displacement first. Then inspect velocity, acceleration response, transmitted force, and spring rate. Use the CSV export for spreadsheets. Use the PDF button for quick sharing or documentation.
Shock displacement shows how far a system moves during a sudden load. It helps engineers and analysts evaluate structural safety, packaging performance, mount behavior, and vibration isolation quality. A reliable estimate reduces trial and error and improves design decisions.
This tool estimates peak displacement for a damped single degree of freedom system. It accepts common pulse types, including half sine, rectangular, and triangular shapes. It also reports related values such as transmitted force, velocity response, and equivalent spring rate.
The method converts shock amplitude into acceleration and combines it with system natural frequency. That creates a static equivalent displacement. A dynamic amplification factor then adjusts the result for resonance effects and damping behavior. This makes the estimate more useful than a simple static calculation.
Amplitude and pulse duration usually dominate the output. A larger shock or longer pulse can increase system movement. Natural frequency matters because softer systems often displace more. Damping can reduce response near resonance, while the safety factor raises the final design estimate.
Use this shock displacement calculator when comparing design options, checking mount selection, screening packaging concepts, or reviewing transient loading in mathematical models. It is especially useful during early analysis when you need fast and understandable results before more detailed simulation work.
Peak displacement is the main decision value. Larger displacement may signal clearance problems, overstress, or support issues. Peak acceleration response helps identify component sensitivity. Transmitted force can support mount or fastener sizing. Review all outputs together rather than relying on one metric alone.
It estimates the peak displacement of a damped system during a shock event. It also reports response velocity, response acceleration, transmitted force, and equivalent spring rate for better analysis.
Different pulse shapes deliver energy differently over time. A half sine, rectangular, or triangular input can create different dynamic amplification levels, even with similar amplitude and duration values.
Damping ratio represents how strongly the system dissipates motion. Higher damping usually lowers the peak response, especially when the pulse frequency approaches the system natural frequency.
Natural frequency controls how easily the system responds to shock. When the pulse timing is close to the system frequency, displacement can increase sharply because of dynamic amplification.
Yes. It is useful for packaging checks, mount selection, isolation reviews, and early screening. It gives a quick estimate before running more detailed finite element or time-history simulations.
Enter amplitude in g, duration in milliseconds, mass in kilograms, natural frequency in hertz, and gravity in meters per second squared. The main displacement result is shown in millimeters.
The safety factor scales the final peak displacement upward. It helps create a more conservative design estimate when uncertainty exists in the shock input or system properties.
No. It is a practical mathematical estimate based on a simplified damped single degree of freedom model. Complex structures may need testing or advanced simulation for final validation.
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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.