On the relations between kinetic energy and linear momentum, angular momentum of the particle and of the rigid body

Using the definition for the partial derivative of a scalar in respect to the vector, this paper presents the relations between kinetic energy and linear momentum, angular momentum of the particle and of the rigid body. The obtained results are useful for the investigation of the dynamics of multibody system

Transverse Vibrations of a Continuous Beam on Rigid and Elastic Supports under the Action of Moving Bodies

In the present paper the method of substructures is used to derive transverse vibration equations of a continuous beam on rigid and elastic supports under the action of moving bodies. An algorithm for calculating the solutions of vibration equations of a continuous beam is presented. From this algorithm, a computer program is created using C++ language

Rank-Deficiency in Indoor MIMO

This paper points out in an analytical way that rankdeficiency in indoor MIMO is typically due to the small size of scattering windows in the NLOS propagation path between the transmitter and the receiver

Amplitude Modeling of Specular Multipath Components for Robust Indoor Localization

Ultra-Wide Bandwidth (UWB) and mm-wave radio systems can resolve specular multipath components (SMCs) from estimated channel impulse response measurements. A geometric model can describe the delays, angles-of-arrival, and angles-of-departure of these SMCs, allowing for a prediction of these channel features. For the modeling of the amplitudes of the SMCs, a data-driven approach has been proposed recently, using Gaussian Process Regression (GPR) to map and predict the SMC amplitudes. In this paper, the applicability of the proposed multipath-resolved, GPR-based channel model is analyzed by studying features of the propagation channel from a set of channel measurements. The features analyzed include the energy capture of the modeled SMCs, the number of resolvable SMCs, and the ranging information that could be extracted from the SMCs. The second contribution of the paper concerns the potential applicability of the channel model for a multipath-resolved, single-anchor positioning system. The predicted channel knowledge is used to evaluate the measurement likelihood function at candidate positions throughout the environment. It is shown that the environmental awareness created by the multipath-resolved, GPR-based channel model yields higher robustness against position estimation outliers

Modelling Parametric Vibration of Gear-Pair Systems as a Tool for Aiding Gear Fault Diagnosis

The main components in gear vibration spectra are the tooth-meshing frequency and its harmonics, together with sideband structures due to modulation effects. Sideband structures can be used as an important diagnostic symptom for gear fault detection. The main objective of the present paper is to unravel amplitude modulation effects which are responsible for generating such sidebands. The parametrically excited vibration of a gear-pair system in mesh was investigated. A comparison between the model result and actual experimental data from a test rig was also presented. Some analytical expressions are derived to provide a logical explanation for ob-served phenomena. The modelling result can be used to predict sideband amplitude in presence of the distributed gear faults such as non-uniform tooth wear, pittings. It may serve as a tool for aiding the gear fault diagnosis

A PROCEDURE FOR OPTIMAL DESIGN OF A DYNAMIC VIBRATION ABSORBER INSTALLED IN THE DAMPED PRIMARY SYSTEM BASED ON TAGUCHI’S METHOD

The dynamic vibration absorber (DVA) has been widely applied in various technical fields. This paper presents a  procedure for designing the optimal parameters of  a dynamic vibration absorber attached to a damped primary system. The values of the optimal parameters of the DVA obtained by the Taguchi’s method are compared by the results obtained by other methods. The comparison results show the advantages of the procedure presented in this stud

About the Gibbs-Appel equations for multibody systems

In this paper a matrix form of Gibbs-Appel function is recommended for multibody dynamics formulations. The form proposed in this paper seems to be more clear and suitable for automatic generation of dynamical equations of motion. The advantages followed from the formulation proposed are illustrated through an example

Über den Massenausgleich in Mehrkörpersystemen

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