The application provides a design method of a V-shaped notch
ultrasonic fatigue variable cross-section cylindrical sample, and relates to the technical field of ultrahigh cycle fatigue performance analysis, and comprises the following steps: obtaining one-dimensional
longitudinal vibration equation of the V-shaped notch
ultrasonic fatigue variable cross-section cylindrical sample based on elastic wave theory; obtaining displacement amplitude
differential equation by separation of variables method; giving vibration displacement
amplitude function and
harmonic length analytical formula of the V-shaped notch sample; obtaining required
harmonic length and basic size of the sample according to
test material and given conditions. The reliability of the analytical design method is verified by analyzing the inherent frequency of the sample under the axial tension and compression state by the
finite element method. The method is suitable for analytical design and
verification of the notch variable cross-section cylindrical sample under the
ultrasonic fatigue loading working condition, enriches the
sample type and design method of the ultrasonic fatigue test, and when the notch angle,
test design frequency and
metal material change, the sample only needs to be adjusted in the
harmonic length, the principle is simple, and the method is convenient to apply.