Inversion of the generalized abel transform in the analysis of fluid vibration in a tube

Fluid vibrations in axi-symmetric geometry according to the first harmonic in the circumferential direction are analyzed. This problem has a practical application in the analysis of transverse vibrations of fluid in an axi-symmetric pipe. In order to obtain volumetric strains from the holographic image of the vibrating fluid the inversion of the generalized Abel transform is to be performed. A numerical procedure for the solution of this problem is propose

Dynamics of a thermal vibro-transporter

Numerical model for the investigation of dynamics of a thermal vibro-transporter is proposed. The model is based on the one dimensional linear bar finite element and the stopping mechanism is being taken into account by the penalty method. Results of performed calculations of vibro-transportation are presented. From the presented results the effect of thermal vibro-transportation is clearly seen

Inversion of the generalized abel transform in the analysis of fluid vibration in a tube

Fluid vibrations in axi-symmetric geometry according to the first harmonic in the circumferential direction are analyzed. This problem has a practical application in the analysis of transverse vibrations of fluid in an axi-symmetric pipe. In order to obtain volumetric strains from the holographic image of the vibrating fluid the inversion of the generalized Abel transform is to be performed. A numerical procedure for the solution of this problem is propose

Calculation of stresses in the coating of a vibrating beam

The model for the analysis of stresses in the coating of a straight beam performing transverse vibrations is presented. The developed numerical procedure is based on the technique of conjugate approximation with smoothing adapted for this specific problem. Relative error norms are calculated and their relationship with the required smoothing is determine

Calculation of stresses in the coating of a vibrating beam

The model for the analysis of stresses in the coating of a straight beam performing transverse vibrations is presented. The developed numerical procedure is based on the technique of conjugate approximation with smoothing adapted for this specific problem. Relative error norms are calculated and their relationship with the required smoothing is determine

Investigation of vibrations of a two phase material

The model for investigation of vibrations of an elastic structure filled with fluid is proposed. This model is applicable for the analysis of vibrations of soil filled with water and can also be applied for the analysis of vibrations of materials used in various transportation devices. A two-dimensional structure is analyzed and four nodal variables are assumed: displacements of the elastic structure in the directions of the axes of coordinates and displacements of the fluid in the directions of the axes of coordinates. The interaction of the elastic structure and the fluid is assumed through the volumetric strains. This enables to obtain the stiffness and mass matrixes directly applicable for calculation of the eigenmodes of the system. The eigenmode is represented by two figures: the displacements of the elastic structure and the displacements of the fluid. The first eigenmodes of the rectangular structure are obtained and analyzed. An important problem for precise analysis of vibrations of such twophase systems is the accurate determination of physical parameters used in the analysis. Special experimental procedures are to be designed and implemented for their determination. This is the subject of subsequent investigations and is to be presented in future papers

Dynamics of a thermal vibro-transporter

Numerical model for the investigation of dynamics of a thermal vibro-transporter is proposed. The model is based on the one dimensional linear bar finite element and the stopping mechanism is being taken into account by the penalty method. Results of performed calculations of vibro-transportation are presented. From the presented results the effect of thermal vibro-transportation is clearly seen

Dynamics of a thermal vibro-transporter

Numerical model for the investigation of dynamics of a thermal vibro-transporter is proposed. The model is based on the one dimensional linear bar finite element and the stopping mechanism is being taken into account by the penalty method. Results of performed calculations of vibro-transportation are presented. From the presented results the effect of thermal vibro-transportation is clearly seen

Investigation of vibrations of a two phase material

The model for investigation of vibrations of an elastic structure filled with fluid is proposed. This model is applicable for the analysis of vibrations of soil filled with water and can also be applied for the analysis of vibrations of materials used in various transportation devices. A two-dimensional structure is analyzed and four nodal variables are assumed: displacements of the elastic structure in the directions of the axes of coordinates and displacements of the fluid in the directions of the axes of coordinates. The interaction of the elastic structure and the fluid is assumed through the volumetric strains. This enables to obtain the stiffness and mass matrixes directly applicable for calculation of the eigenmodes of the system. The eigenmode is represented by two figures: the displacements of the elastic structure and the displacements of the fluid. The first eigenmodes of the rectangular structure are obtained and analyzed. An important problem for precise analysis of vibrations of such twophase systems is the accurate determination of physical parameters used in the analysis. Special experimental procedures are to be designed and implemented for their determination. This is the subject of subsequent investigations and is to be presented in future papers