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Loss Factor Calculation Tool
OT-0450

The loss coefficient and Young's modulus (longitudinal elastic modulus) of the damping material itself are calculated from the measurement results of the multi-layered test specimen using the formula described in JIS K7391.

The loss coefficient is one of the indicators used in the fields of mechanical vibration and polymer materials to show vibration damping performance. Damping materials with a large loss coefficient are used by being attached to the surface of structures for the purpose of reducing vibration and radiated noise. This tool calculates the loss coefficient and Young's modulus of the damping material itself from the frequency response function of a multi-layered test piece (a test piece with damping material attached to a base material) measured with the frequency response measurement software OS-4100, thereby clarifying the vibration damping performance of the damping material.

Features

Supports cantilever beam method (single-end fixed steady-state excitation method) and central excitation method (central supported steady-state excitation method).

This method supports both methods specified in JIS K7391. These methods involve forcibly exciting a rectangular test specimen and then using the half-width method to determine the loss coefficient from the peak of the frequency response function (mechanical impedance (force/vibration velocity) or mobility (vibration velocity/force)).

Supports 3-layer test specimens (sandwich type, double-sided adhesive type)

For test specimens where damping material is sandwiched between two surfaces, such as damping steel plates, or for test specimens where damping material is attached to both surfaces of a base material, it is possible to calculate the loss coefficient and Young's modulus of the damping material alone.

The results from different temperature conditions are aggregated and displayed in a single graph.

Vibration damping materials typically possess not only frequency characteristics but also temperature characteristics. By conducting temperature tests using a constant temperature chamber, it is possible to overlay the results measured at multiple temperatures.

System Configurations

Cantilever beam method loss coefficient measurement system

This method involves fixing one end of a test specimen and exciting the other end, which is free, to excite bending vibrations and measure the loss coefficient.

System Configuration

  • System Configuration
    (The graph in the upper right is an image of the measured frequency response function.)

Image of a test specimen

  • Examples of test specimens for the cantilever beam method (left: 2-layer test specimen, right: 3-layer [sandwich type] test specimen)
    Examples of test specimens for the cantilever beam method (left: 2-layer test specimen, right: 3-layer [sandwich type] test specimen)
Frequency response measurement software OS-4100

Frequency response measurement software is specialized software that can measure the frequency characteristics of various objects, such as the vibration characteristics of mechanical structures, the acoustic characteristics of speakers, the control characteristics of motors, servo analysis, the response characteristics of couplings, and the impedance characteristics of batteries.

The OS-4100 frequency response measurement software (servo analyzer/frequency characteristic analyzer) is available here.

Central vibration method loss coefficient measurement system

This method involves supporting the center of a test specimen with both ends free, then exciting it to excite bending vibrations and measure the loss coefficient.

System Configuration

  • (The graph in the upper right is an image of the measured frequency response function.)
    (The graph in the upper right is an image of the measured frequency response function.)

Image of a test specimen

  • Examples of test specimens for the central vibration method (left: 2-layer test specimen, right: 3-layer [sandwich type] test specimen)
    Examples of test specimens for the central vibration method (left: 2-layer test specimen, right: 3-layer [sandwich type] test specimen)
Frequency response measurement software OS-4100

Frequency response measurement software is specialized software that can measure the frequency characteristics of various objects, such as the vibration characteristics of mechanical structures, the acoustic characteristics of speakers, the control characteristics of motors, servo analysis, the response characteristics of couplings, and the impedance characteristics of batteries.

The OS-4100 frequency response measurement software (servo analyzer/frequency characteristic analyzer) is available here.

Case Studies

This is the result of measuring a two-layer test specimen, consisting of a steel base material with vibration-damping material attached, using the central excitation method.

Screenshot of frequency response function measurement results on OS-4100

  • Screenshot of frequency response function measurement results on OS-4100

Inputting measurement conditions on OT-0450

  • Inputting measurement conditions on OT-0450

Calculation results

In addition to calculating the loss coefficient and Young's modulus from the peak of the frequency response function, it is also possible to calculate the loss coefficient and Young's modulus at specific frequencies.

Loss factor

  • Left: Frequency-loss coefficient graph, Right: Temperature-loss coefficient graph
    Left: Frequency-loss coefficient graph, Right: Temperature-loss coefficient graph

Young's modulus

  • Left: Frequency-Young's modulus graph, Right: Temperature-Young's modulus graph
    Left: Frequency-Young's modulus graph, Right: Temperature-Young's modulus graph

Specification

File formats

Import file format CSV (Damping ratio list data output by OS-4100)
Export file format XLSX (report file)

Related Numbers

  • JIS K7391:2008 Test method for vibration damping characteristics of unrestrained vibration-damping composite beams

  • JIS G0602:1993 Test Method for Vibration Damping Characteristics of Vibration-Damping Steel Plates

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Last updated:2024/07/10