Identification of the Dynamic Elasticity Characteristics and Damping Properties of the OT-4 Titanium Alloy Based on Study of Damping Flexural Vibrations of the Test Specimens

Hydrodynamic forces acting on the elliptic cylinder performing high-frequency low-amplitude multi-harmonic oscillations in a viscous fluid

“…Egorov et al. 2014, 2017; Paimushin, Firsov & Shishkin 2019) and fluids (e.g. Payam, Trewby & Voïtchovsky 2017) and others.…”

Transformational deformation models of continuous thin‐walled structural elements with support elements of finite sizes: Theoretical foundations, computational, and physical experiments

“…In addition, Table 1 shows the experimental resonant frequencies of the beam cantilevers and their theoretical values found using classical formulas for cantilevered beams with rigidly pinched end sections. Note that the latter values are given at two different values of the E modulus of elasticity of the beam material: at the $$E = 72$$ GPa corresponding to static loading of the duralumin specimen, and also at the dynamic value $$E = 55.4$$ GPa of the elasticity modulus found in [24] at the corresponding frequencies of bending vibrations.…”

“…The above described simplification of the calculation scheme is to a certain extent acceptable in the case of static loading of the spans, but unacceptable for the cases of dynamic impact. The reason for this conclusion was the results of experimental studies on determination of damping properties of materials and different types of coatings conducted earlier [20, 22, etc.]. Let us note that for experimental determination of the damping properties of materials in the frequency range from 50 to 5000 Hz the ASTM E‐756 test standard [23] is currently recommended.…”

“…In the development of the test standard [23], a methodology for determining the damping properties of materials in the low‐frequency range based on the study of damped bending vibrations of specimens according to the first mode was proposed in articles [19, 20, etc.]. For this purpose, we used specimens of considerable length (Figure 3b), allowing a sufficiently wide range of changes in the cantilever's length a 1 , and, consequently, the frequency of the first mode of its bending vibrations.…”

“…After the load was removed, the specimen made damped bending vibrations according to the first mode. Processing of specimens' damped vibrations vibrograms at different a 1 lengths (and as a consequence, at different frequencies of natural vibrations) allows to determine parameters of damping properties of materials depending on the frequency of vibrations and amplitude values of formed bending deformations [19, 20, etc.]. The proposed technique made it possible to reduce the number of tested specimens and, as a consequence, to ensure the stability of the properties of the tested materials.…”