The purpose of the work is dynamic analysis of passive dampers used in structural systems to reduce excessive vibrations caused by wind or earthquakes. Special systems are considered that contain inerter, i.e. device using rotational inertia, in combination with a viscoelastic damper. The so-called fractional models of viscoelastic dampers describe their dynamic behavior in a wide frequency range using a small number of model parameters. To describe material behavior over a wider frequency range, the time-temperature superposition principle is used. The shifting factor is calculated from the well-known William-Landel-Ferry formula. This allows for determination of damper parameters at any temperature based on the parameters obtained at the reference temperature. Laplace transformation of the derived equations of motion leads to the non-linear eigenproblem, which could be solved using the continuation method. The influence of temperature on the dynamic characteristics of the system is examined.
In the present paper the numerical approach for the modeling of the flow past rotating geometries is presented. Practical methods for two cases are described: the one where whole domain is moving with uniform angular velocity, where the rotation might be included in the governing equations only (in the terms related to Coriolis and centrifugal forces), and the one where part of the domain is rotating, whereas another one is stationary. The second case is illustrated by examples describing the steady and transient flow around a rotating propeller and by a centrifugal pump. Simulations are performed using OpenFOAM CFD solver, with the models covering flow rotation: MRF (multiple reference frame) and AMI (arbitrary mesh interface).
This paper presents the development of a mathematical model of a bio-mechanical system: human ‒ power tool, on the example of an impact drill. The physical model of the operator's upper limb with 5 degrees of freedom, in accordance with ISO 10068 standard was used. The paper presents the results of theoretical analysis regarding elementary and net displacements for individual directions. Moreover mathematical relationships describing them were determined. The result of the synthesis of these relations and the adopted (in accordance with the standard) physical model of the upper limb is the general matrix form of differential equations of motion of the analysed bio-mechanical system, built using the Lagrange’s equations of the second kind.
The objective of this work is to demonstrate the use of multiscale curvature tensor analysis to characterize deformations of piezoelectric bimorph actuator and to study the relation between loaded electric charge and the resulting deformed surface curvature. In particular, the strength of the correlations between surface shape characterized by curvature parameters (i.e., principal, Gaussian or mean curvature) and charge density is sought. The impact that the scale of the analysis of the curvature can have on the values of the curvature parameters for the deformed surfaces and the correlation with discharge energy is also studied. In this study the deformations of piezoelectric bimorph actuators are studied. In order to achieve quasi-static measurements, a dedicated charge amplifier was built to supply charge to the actuator. The deformations were then measured by Polytec® 3D laser scanning vibrometer PSV-400 by integration of captured motion. The obtained data was used to calculate curvature tensor field at multiple scales by applying the normal-based method. Principal, mean and Gaussian curvature was calculated at multiple scales and were correlated with applied charge. The obtained results contribute to better understanding of piezoelectric behavior under electric field.
External boundaries of acoustic devices can channel sound propagation, and in some cases can create buildup or attenuation of acoustic energy within a confined space. In this paper, it is proposed an efficient practical numerical method (based on FEM) of calculation of attenuation of sound power transmission through ducts. The method shows its viability by presenting the reasonably consistent anticipation of the experimental result. One can observe the mechanical behaviour of the duct’s medium for lower frequencies (high transmission loss) and wave behaviour for higher frequencies (small or zero attenuation). The authors proved that mechanical vibrations of medium reduce the possibility of acoustic energy transmission in duct systems. The radiation impedance for the duct is calculated as well.
