Synchrosqueezing is a procedure for improving the frequency localization of a continuous wavelet transform. This research focuses on using a synchrosqueezed wavelet transform (SWT) to determine the damping ratios of a vibrating system using a free-response signal. While synchrosqueezing is advantageous due to its localisation in the frequency, damping identification with the original SWT is not sufficiently accurate. Here, the synchrosqueezing was researched in detail, and it was found that an error in the frequency occurs as a result of the numerical calculation of the preliminary frequencies. If this error were to be compensated, a better damping identification would be expected. To minimize the frequency-shift error, three different strategies are investigated: the scale-dependent coefficient method, the shifted-coefficient method and the autocorrelated-frequency method. Furthermore, to improve the SWT, two synchrosqueezing criteria are introduced: the average SWT and the proportional SWT. Finally, the proposed modifications are tested against close modes and the noise in the signals. It was numerically and experimentally confirmed that the SWT with the proportional criterion offers better frequency localization and performs better than the continuous wavelet transform when tested against noisy signals.
COBISS.SI-ID: 14633755
This research is focused on a comparison of classic and strain experimental modal analysis (EMA). The modal parameters (the natural frequencies, the displacement mode shapes (DMSs) and the damping) of real structures are usually identified with classic EMA, where the responses are measured with motion sensors (e.g. accelerometers). Strain EMA is a special approach in the field of EMA, where the responses are measured with strain sensors. Classic EMA is the preferred method, but strain EMA offers advantages that are important for particular applications: for example, the direct identification of strain mode shapes (SMSs), which is important in the vibration-fatigue and damage-identification models. The next advantage is that strain EMA can sometimes be used, for experimental/geometrical reasons, where classic EMA cannot. There are also drawbacks: for example with strain EMA only, the mass-normalization of the DMSs and SMSs cannot be performed. This study researches the theoretical similarities and differences of both EMA approaches. Furthermore, the accuracy of both approaches for the case of a free%free supported beam and a free-free supported plate is investigated. Classic and strain EMA were performed with a piezoelectric accelerometer and the piezoelectric strain gauges, respectively. The results show that the accuracy of strain EMA results (the natural frequencies, DMSs and the damping) is comparable to the accuracy of classic EMA.
COBISS.SI-ID: 13425947
This paper deals with spatial damping identification methods. In contrast to the commonly used damping methods (modal, proportional) the spatial damping information improves structural models with a known location of the damping sources. The Lee-Kim, Chen-u-Tsuei, Fritzen IV and local equation of motion methods were theoretically and experimentally compared. Experimentally, the spatial damping identification was tested against: modal and spatial incompleteness, differences in viscous and hysteretic damping models, the performance of identification methods and the effect of damping treatments. It was found that for a structure with a known equation of motion (beam, plate) the local equation of motion method is more efficient and gives a more precise location of the damping. Full frequency response function (FRF) matrix methods can also identify the spatial damping, but are more demanding because the numerical and measurement effort increases with n2, where n is the number of measurement points and, consequently, the size of the FRF matrix.
COBISS.SI-ID: 14631195
Vibrating systems dissipate their vibrational energy through different mechanisms, commonly referred to as damping. Damping converts the vibrational energy into other forms, such as heat and sound radiation. Heating of the material is often assumed to be one of the biggest drains of energy; however, the measurable temperature increase is at the level of milli Kelvin and hard to measure. This research introduces a damping heat coefficient, the coefficient of total dissipated energy that is converted into heat. Using this coefficient, the expected temperature change of a beam is theoretically related to its damping ratio. In addition, the damping heat coefficient is determined experimentally by measuring the temperature increase of a vibrating beam. Based on modal damping, it is shown that different amounts of energy are dissipated at different parts of the structure. The numerical heat model was experimentally confirmed.
COBISS.SI-ID: 15482651
The design of a damping layout can result in a frequency-focused reduction of vibration responses. Theoretical approaches that relate the spatial-damping parameters with the frequency content of the damping are limited. This re- search introduces a theoretical approach to damping-layout design (location and size) with frequency-content control. Initially, the frequency-response functions (measured or simulated) are modified to obtain the required damp- ing layout via spatial-damping identification methods. The use of these meth- ods provides a straightforward relationship between the frequency responses and the targeted spatial damping. The Lee-Kim spatial-damping identifica- tion method is used in the presented numerical and experimental case studies. The numerical and experimental results show that the approach is capable of providing the desired frequency content. This approach can be a valuable tool for a damping-layout assessment as high damping can be achieved with a reduced amount of damping material in a single-step solution.
COBISS.SI-ID: 15686683