Contact Resonance 101

The dynamic behavior of force measurement systems, especially those using load cells, is essential for precise testing and control. An often-overlooked factor that can significantly damage measurement accuracy and even cause system failure is contact resonance.

This phenomenon, caused by inherent mechanical clearances within the system, can turn harmless transient forces into potentially destructive oscillations.

Resonance occurs when an object is subjected to an external force or vibration whose frequency matches the object’s resonant frequency. Contact resonance is a form of self-excited oscillation that occurs in mechanical systems involving mass, stiffness (spring element), and a small clearance gap. The foundational physics principle can be likened to a mass oscillating between two stiff, parallel surfaces separated by a small gap. The mass gains momentum across the gap, impacts one surface, reverses direction due to the contact stiffness, crosses the gap again, and impacts the opposite surface, repeating the cycle.

The approximate frequency of this resonance (fr) is governed by the system’s effective mass (Meff), the contact stiffness (Kc), and the total clearance (Ctotal). Higher stiffness increases the frequency, while higher mass or larger clearance decreases the frequency.

TIP: Read Understanding Load Cell Frequency for a quick refresher.

Contact Resonance in Load Cell Applications

In force measurement, the load cell provides the spring, which is the primary elastic element of stiffness. The surrounding mechanical structure, such as a dynamometer arm or test fixture, provides effective mass. The gap often resides in the connecting elements.

Dynamometer Application Considerations

In dynamometer testing and measurement, the mass is the radius arm, the stiffness is the load cell’s axial stiffness, and the critical gap resides primarily in the rod end bearings that couple the radius arm to the load cell. The engine’s cylinder firing rate generates periodic force impulses. If the firing frequency approaches the system’s contact resonance frequency, a classic resonance magnification occurs. The resulting impact forces on the load cell can be amplified significantly, leading to measurement error, including unstable or erroneously high peak readings, or even load cell failure due to over-range forces or fatigue damage. This phenomenon is particularly problematic in low-cylinder-count engines, such as single-cylinder engines, where force impulses are more distinct and powerful.

AxialTQ Engine Dynamometer Application Note

Material Test Machine Considerations

A second primary application is in material testing machines, especially during fatigue or dynamic loading tests, where high-frequency cycles are applied. Clearance in the hydraulic actuator’s clevis, the pin joints, or the sample grip’s connection to the load cell can create a localized contact resonance. If the test frequency inadvertently excites this, the forces experienced by the test specimen and the load cell will be substantially higher and more erratic than the commanded forces. This severely compromises the integrity of the test data and can lead to inconsistent results or premature damage to the test hardware.

RESOURCE ALERT: Use the Interface Load Cells 301 Guide, a technical resource and practical tool that details load cell characteristics and applications for test engineers and users of measurement devices. It details advanced application topics, including contact resonance. You can download the entire Load Cell Field Guide here.

Mitigation Strategies for Load Cell Design and Test Rig Integrity

Minimizing or managing contact resonance is paramount for dynamic force measurement accuracy and system longevity. Design efforts must focus on increasing frequency and reducing the initial excitation.

The most effective strategy is to minimize clearance gaps. This is achieved by using preloaded connections, zero-backlash couplings, and high-precision bearings to reduce the total clearance. Securely tightening connection bolts in high preload is also essential, as it eliminates play by tightly clamping the components, thereby directly and significantly increasing the resonant frequency.

Another powerful strategy is to increase system stiffness. This involves using a higher-capacity load cell, as these inherently have a higher axial stiffness. Additionally, the entire test frame and fixtures should be designed with high structural rigidity. Since stiffness is a function of both, increasing either component raises the overall contact stiffness and, in turn, the resonant frequency.

Engineers should also optimize system mass by reducing the effective mass of the moving components, such as using lighter materials for dynamometer arms or moving fixtures, wherever possible. Reducing the effective mass also raises the resonant frequency.

Finally, consult our test and measurement experts before considering damping or digital filtering to ensure you do not compromise the sensor’s overall accuracy or damage hardware.