Pendulum Damping Ratio Estimator from Logarithmic Decrement calculator

Quick Answer

Calculate Pendulum Damping Ratio Estimator from Logarithmic Decrement

Result Interpretation

Pendulum Damping Ratio Estimator from Logarithmic Decrement calculator computes Damping Ratio in dimensionless using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

Number of Cycles Between Peaks = 1
First Peak Amplitude = 0.1
Second Peak Amplitude = 0.05

Expected Result:

Damping Ratio = 0.70710678118655

Engineering Interpretation:

Under the given input conditions, the calculated result is: Damping Ratio = 0.70710678118655 dimensionless.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

damping ratio = 1 / sqrt(1 + pow((2 * 3.14159265358979 * log(first peak amplitude / second peak amplitude) / (2 * 3.14159265358979 * number of cycles between peaks)) / (log(2)), 2))

Formula family: formula_simulation_pendulum_damping_ratio_estimator_real_world_oscillation_decay

Variables

Symbol	Label	Role	Description
amplitude_1	First Peak Amplitude	INPUT	First Peak Amplitude
amplitude_2	Second Peak Amplitude	INPUT	Second Peak Amplitude
num_cycles	Number of Cycles Between Peaks	INPUT	Number of Cycles Between Peaks
damping_ratio	Damping Ratio	OUTPUT	Damping Ratio

Calculation Steps

Enter the first peak amplitude in m.
Enter the second peak amplitude in m.
Enter the number of cycles between peaks in cycle.
Step 1: Compute damping ratio.
Read the damping ratio (dimensionless) from the results.

Engineering Summary

Calculate Pendulum Damping Ratio Estimator from Logarithmic Decrement

Frequently Asked Questions

What does this calculator calculate?

The Pendulum Damping Ratio Estimator from Logarithmic Decrement calculator estimates Damping Ratio based on the input parameters you provide

Why is first peak amplitude important in this calculation?

first peak amplitude is directly proportional to damping ratio. When you enter first peak amplitude in m, the calculator uses it in the engineering formula to compute the output

How should I interpret the result damping ratio?

The calculator outputs damping ratio in dimensionless. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: First Peak Amplitude (m), Second Peak Amplitude (m), Number of Cycles Between Peaks (cycle). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment