Ensuring stable cutting during milling

2020 ◽  
pp. 80-83
Author(s):  
D.YU. Topolov
Keyword(s):  
Mathematical Model ◽  
Forced Vibrations ◽  
Pulsed Loading ◽  
Minimum Amplitude

The methods of damping vibrations arising during milling are investigated. A mathematical model is developed that reflects the relation between the amplitude of the forced vibrations and the parameters of the actuating impulse. The ranges of pulsed loading parameters are established, which ensure stable milling. The parameters of cylindrical mills that provide the minimum amplitude of vibration are determined. Keywords: processing, cutting, milling, vibrations, forced vibrations, damping. [email protected]

Investigation of the Influence of the Location of the Unified Mass on the Formed Vibrations of a Thin Containing Extended Shell

2019 ◽  
Vol 945 ◽  
pp. 885-892 ◽  
Author(s):  
O.E. Sysoev ◽  
A.Y. Dobryshkin ◽  
Nyein Sit Naing ◽  
A.V. Baenkhaev
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Test Bench ◽  
Cylindrical Shells ◽  
Forced Vibrations ◽  
Cyclic Loads ◽  
Attached Mass ◽  
Mass System ◽  
Thin Walled ◽  
Reduced Scale

The operation of a structure of thin-walled open cylindrical shells with high economic efficiency is associated with the phenomenon of oscillations and resonance from the effects of cyclic loads and systems of attached masses. The oscillation processes of such structures are not sufficiently studied at present. The article describes a test bench for testing open thin-walled cylindrical shells hinged on the edges that carry a system of attached masses, and the results of experiments on the nature of a reduced-scale shell model are presented. The attached mass system represents metal cylinders of different masses arranged in a certain sequence on the shell body. The experimental dependence of the change in the frequency spectrum of the shell oscillations on the number, mass, and location of the system of attached masses is obtained. A mathematical model is developed for the behavior of an open thin-walled cylindrical shell with a system of attached masses, consistent with the experimental data for forced vibrations of the shell.

Optimization Design for Luffing Mechanism of Portal Slewing Crane

2014 ◽  
Vol 577 ◽  
pp. 305-309
Author(s):  
Zhong Hua Luo
Keyword(s):  
Mathematical Model ◽  
Cross Section ◽  
Optimization Design ◽  
Maximum Force ◽  
Optimization Result ◽  
Mechanism Optimization ◽  
Cross Section Area ◽  
Section Area ◽  
Minimum Amplitude ◽  
Comprehensive Study

This paper conducts a comprehensive study on the optimization design for luffing mechanism of portal slewing crane. First, displacement formulae are derived of crampon hinge point of the luffing mechanism. Secondly, mathematical model is established for luffing mechanism optimization design of portal slewing crane, according to the mechanism characteristics, and, with an aim of making crampon hinge end point to move horizontally, and of satisfying the value of maximum and minimum amplitude, and of saving material, etc. Finally, program of optimization design is compiled for the luffing mechanism of portal slewing crane. The luffing mechanism of M4022 portal slewing crane is optimized, and the optimization result is satisfactory. This paper makes it possible to obtain not only each rod length and cross-section area, but also obtain the counterbalance weight and the each rod maximum force of the luffing mechanism.

scholarly journals THE REACTIONS OF THE «BEAM – FOUNDATION» SYSTEM TO THE SUDDEN CHANGE OF THE BOUNDARY CONDITIONS

2018 ◽  
Vol 188 ◽  
pp. 03008 ◽  
Author(s):  
Vladimir A. Gordon ◽  
Olga V. Pilipenko ◽  
Vladimir A. Trifonov
Keyword(s):  
Mathematical Model ◽  
Boundary Conditions ◽  
Dynamic Process ◽  
Sudden Change ◽  
Static Problem ◽  
Forced Vibrations ◽  
Winkler Foundation ◽  
Initial Condition ◽  
Foundation Parameters ◽  
Beam Foundation

The authors constructed a mathematical model of a dynamic process in a loaded beam on the elastic Winkler foundation in a sudden formation of a defect in the form of a change in the boundary conditions. The solution of the static problem of bending of the beam pinched at the ends served as the initial condition for the process of forced vibrations hinged supported at the ends of a beam, which arose after a sudden break in the connections that prevented the rotation of the end sections. The authors determined the dynamic increments of stresses in a beam for various combinations of a beam and foundation parameters.

scholarly journals DYNAMIC EFFECTS IN THE BEAM ON AN ELASTIC FOUNDATION CAUSED BY THE SUDDEN TRANSFORMATION OF SUPPORTING CONDITIONS

2018 ◽  
Vol 14 (4) ◽  
pp. 27-47
Author(s):  
Vladimir I. Travush ◽  
Vladimir A. Gordon ◽  
Vitaly I. Kolchunov ◽  
Yevgeny V. Leontiev
Keyword(s):  
Mathematical Model ◽  
Boundary Conditions ◽  
Elastic Foundation ◽  
Dynamic Process ◽  
Static Problem ◽  
Forced Vibrations ◽  
Initial Condition ◽  
Dynamic Effects ◽  
Foundation Parameters

A mathematical model of a dynamic process in a loaded beam on an elastic Winkler base with the sudden formation of a defect in the form of a change in the boundary conditions is constructed. The solution of the static problem of bending of the beam fixed at the ends serves as the initial condition for the process of forced vibrations hinged supported at the ends of the beam, which arose after a sudden break in the bonds that prevented the rotation of the end sections. Dynamic increments of stresses in the beam for various combinations of beam and foundation parameters are determined. determined.

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model
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