Conference Papers

ABSTRACT: Advances in micro-technologies in recent decades have enabled the production of miniature, inexpensive, integrated accelerometers and gyroscopes suitable for use in the analysis of the motion of various objects, mechanisms, and machines. This paper presents an approach for conducting experiments with a mathematical pendulum using a three-axial micromechanical accelerometer, a low-budget microcontroller, and a …

CP15: Pendulum Experimental Study and Analysis with MEMS Accelerometer Read More »

ABSTRACT: The large oscillations of a pendulum are studied. The pendulum is a material point that is suspended on an elastic cord with nonlinear characteristics. The mass of the cord is accepted. It is wrapped around a perfectly rigid and fixed cylinder. The system has two degrees of freedom. Nonlinearity is due to a geometric and …

CP14: Nonlinear Oscillations of a Pendulum Wrapped around a Cylinder Read More »

ABSTRACT: This paper treats a matrix approach for the theoretical study of dynamics of relative motion. The body is assumed as arbitrary, asymmetrical, and homogeneous. Based on the developed kinematics and the obtained new theorems, which describe the relative general motion of this body, an additional step is made. New additional dynamic characteristics and new dynamic …

CP13: Matrix Approach in Dynamics of Relative Body Motion Read More »

ABSTRACT: The paper develops a matrix approach for the theoretical study of the kinematics of relative body motion. The body is assumed as arbitrary, asymmetrical, and homogeneous. New additional kinematics characteristics of the body are introduced: vectors-real generalized transmissive, relative and absolute velocities, and accelerations. Two new theorems are defined: theorem for summation of rigid body …

CP12: Matrix Approach on Kinematics of Relative Body Motion Read More »

ABSTRACT: Shot peening is a surface treatment regularly used to enhance the fatigue life of industrial and mechanical components. Plastic deformation layers are generated by the effects of the bombarded surface. In this regard, recent studies have demonstrated that the Severe Shot Peening (SSP) treatment has an efficient effect on microstructure layers. This event is due …

CP11: Experimental Study on the Fatigue Behavior of Conventional and Severe Shot Peened Molybdenum Alloy Steel Read More »

ABSTRACT: This theoretical article continues the study of the small three-dimensional vibrations of two rigid bodies. Here, they are connected not only with elastic but also with viscous damping elements. The main task of this study is also to show how is composed the system of differential equations and how is determined the damping matrix. The …

CP10: Theoretical Study of Small Vibrations of Two Rigid Bodies with Damping Read More »

ABSTRACT: The small three-dimensional vibrations of two rigid bodies connected with elastic elements are studied in this research. The main task in the paper is to show how the system of differential equations is formed, which describes these vibrations without considering the damping. For determining the stiffness matrix, the Finite Element Method (FEM) is used. The …

CP09: Theoretical Study of Small Vibrations of Two Rigid Bodies without Damping Read More »

ABSTRACT: In this conference paper, new equations called Condensed Lagrange equations (CLE) are defined. With their help, the rigid body’s absolute general motion is studied. The rigid body is considered to be homogeneous and unsymmetrical. CLE is similar in structure to the classical Lagrange equations from the second gender, applied in vector-matrix form, but CLE are …

CP08: Condensed Lagrange Equations Read More »

ABSTRACT: In this conference paper, a rigid body’s absolute general motion is studied. The rigid body is assumed as homogeneous and unsymmetrical. New additional kinetic characteristics are used. The most important of these are the following: the vector-real generalized velocity of the rigid body, the vector-generalized impulse of the rigid body, and the vector-real generalized force …

CP07: Theorem for Change of the Rigid Body Generalized Impulse Read More »

ABSTRACT: The small free three-dimensional vibrations of an asymmetrical rigid body connected with elastic elements and specialized dampers in this paper are studied. The influence of the arbitrary chosen coordinate system on the system of differential equations was determined. It has been shown that such a selected coordinate system can not be used to obtain the …

CP06: Free Three-Dimensional Vibrations of Rigid Body Read More »

ABSTRACT: In practical engineering is required to provide seismic protection of a rigid body, connected with one or more elastic elements. This task falls a little aside from structural mechanics, which deals mainly with seismic protection of structures and buildings. The rigid body has six degrees of freedom. Seismic forces and moments are obtained in the …

CP05: Seismic Forces for Rigid Body Supported on Elastic Elements Read More »

ABSTRACT: In this paper, the free three-dimensional vibrations of a rigid body connected with elastic and damping elements are discussed. The task of determining the Eigen values and Eigen vectors is solved. According to the degree of damping, their variation is monitored. This task also solves the problem of determining the natural frequencies and the oscillation …

CP04: Influence of Dissipation in the Study of Free Three-Dimensional Vibrations of Rigid Body Read More »

ABSTRACT: Free three-dimensional vibrations of a nonsymmetrical rigid body on an elastic ground: This paper describes a free three-dimensional vibration of a nonsymmetrical rigid body on an elastic ground. The body has six degrees of freedom. The elastic ground by three coefficients of elasticity is determined. A system of differential equations, which are described the …

CP03: Free Undamped Three-Dimensional Vibrations of an Unsymmetrical Rigid Body on an Elastic Foundation Read More »

ABSTRACT: The investigations of structural constructions, which are put under dynamical excitations, by using dynamical matrices are done for models, which have many degrees of freedom. But the most real structural constructions have hysteretic damping, which is modeled as viscous damping. This fact makes the investigations more difficult. It is necessary to be used more …

CP02: Dynamical Matrices with Considering the Resistance Read More »

ABSTRACT: The investigations of structural constructions, which are put under dynamical excitations, by using dynamical coefficients are possible only for mechanical systems with one degree of freedom. That is why, to a certain extent, using of this method is limited. The most real structural constructions have many degrees of freedom. The dynamical coefficients are modified …

CP01: Dynamical Matrices without Considering the Resistance Read More »