Transforming Complex Mode Shapes into Real, Undamped Shapes

Modal test data processing methods perform curve-fitting on measured frequency response functions.  These are indirect methods for extracting natural frequencies and damping ratios.  The FRF methods also yield mode shapes which may be complex if the system has non-proportional damping. Each complex mode shape can… Read more

Material Damping

Internal friction and heat generation cause a deviation from perfect elasticity, resulting in the hysteresis loop in the stress-strain curve. The damping capacity  ψ is: ψ =  ΔW/W where W is the initial strain energy and ΔW is the energy lost during one cycle of oscillation. Some damping capacities… Read more

Shock & Vibration Test Fixture Design

Introduction The best vibration fixtures are simple, rigid, lightweight with the minimum number of features.  Shaker and power amplifier systems are limited in terms of voltage, current and force pounds.  Lighter fixtures are needed to achieve higher acceleration levels. Materials Aluminum alloy is a good… Read more

Material Shock Loading

The plot shows the applied strain on the horizontal axis and the resisting stress on the vertical axis. The area inside the triangle represents the maximum energy that can be absorbed elastically, if the member is strained up to its proportional limit stress. The member… Read more

Golden Gate Bridge Singing

Some San Francisco Bay Area residents from Marin County to the Presidio have noticed a sustained, series of high-pitched tones.  The sound reached a new peak volume, and recordings of the eerie noise spread across social media in early June,. The sound is due to… Read more

PSD Fatigue Damage Severity Criteria

PV = pseudo velocity The following method is intended for components which are to be tested to power spectral density (PSD) specifications on shaker tables. The method can be applied to sine-on-random specifications as well. The purpose of this document is to recommend velocity severity… Read more

Hot Fire Test of an Upper Stage Rocket Engine

Liquid fuel rocket engines undergo hot fire testing before flight in order to verify their performance, design integrity, etc.  The engines are mounted to heavy-duty, immovable stands for this purpose.   These tests are also referred to as static fire tests. Furthermore, the tests are almost… Read more