Research on the practice and experience of theoretical mechanics teaching based on MOOCs

2021 ◽  
Author(s):  
Xie Lei
Keyword(s):  
Theoretical Mechanics

scholarly journals ALGORITHM AND SOFTWARE FOR CALCULATING THE STABILITY OF THE FORM OF EQUILIBRIUM OF DISCRETE SYSTEMS

2019 ◽  
Vol 13 (3) ◽  
pp. 44-49
Author(s):  
A.A. SHKURUPIY ◽  
A.N. PASCHENKO ◽  
P.B. MYTROFANOV
Keyword(s):  
Discrete Systems ◽  
Stability Loss ◽  
Transcendental Equation ◽  
Loss Of Stability ◽  
Displacement Method ◽  
Software Complex ◽  
Complex Functions ◽  
Transcendental Functions ◽  
The Stability ◽  
Theoretical Mechanics

The paper presents an algorithm for calculating the stability of the form of equilibrium of the first kind of compressed discrete systems by the method of displacements in combination with themethods of iterations and bisection. The use of the displacement method in combination with the iteration and bisection methods makes it possible to effectively determine the minimum critical stress or strain at the first bifurcation and their corresponding form of loss of stability, both for statically determined and statically undetectable systems. This approach, using matrixforms, makes it possible to significantly simplify the calculations of the analytical condition for the loss of stability of compressed discrete systems (the stability loss equation), which has high orders, as well as to construct the form of loss of stability corresponding to a critical load, that is, to solve the problem of loss of stability of equilibrium. The calculation of the compressed discrete system on the stability of the form of equilibrium actually reduces to the solution of the difficultly described nonlinear transcendental equation, which is the equation of loss of stability. The difficulty lies in the absence of an analytical solution of such an equation due to the presence of complex functions of Zhukovsky, which have transcendental functions in their structure. Such solution can be performed only with the use of numerical methods. This algorithm for calculating the loss of equilibrium of the first kind of compressed discrete systems by displacement in combination with the methods of iteration and bisection is implemented in the software complex "Persist" for a PC in Windows OS. The program was approbated and implemented in theeducational process at the Department of Structural and Theoretical Mechanics of the Poltava National Technical Yuri Kondratyuk University during the training of specialists in engineering specialties.

scholarly journals ДОСЛІДЖЕННЯ ЕНЕРГОЕФЕКТИВНОСТІ ОБЛАДНАННЯ ДЛЯ ЗМІШУВАННЯ СИПКИХ МАТЕРІАЛІВ

2019 ◽  
Vol 136 (4) ◽  
pp. 42-48
Author(s):  
О. П. Бурмістенков ◽  
Т. Я. Біла ◽  
В. В. Стаценко
Keyword(s):  
Mathematical Modeling ◽  
Comparative Analysis ◽  
Electric Drive ◽  
Bulk Materials ◽  
Energy Parameters ◽  
Motion Study ◽  
Theoretical Mechanics

The energy parameters determination of bulk materials mixing equipment. Methodology.  The  paper  used  methods  of  mathematical  modeling,  comparative  analysis  and research  of  electric  drive.  The  particles  motion  study  inside  the  mixer  was  performed  on  the  theoretical mechanics laws basis.

scholarly journals Student-Centered Online Teaching Practices in Theoretical Mechanics

2021 ◽  
Vol 11 (2) ◽  
pp. 233
Author(s):  
Haibin Sun ◽  
Tingting Liu
Keyword(s):  
Moral Education ◽  
Teaching Strategies ◽  
Online Teaching ◽  
Teaching Practice ◽  
Teaching Method ◽  
Independent Learning ◽  
Learning Ability ◽  
Student Centered ◽  
Effective Strategies ◽  
Theoretical Mechanics

The COVID-19 pandemic has had a serious impact on education at all levels and types, and the education system, including colleges and universities, has been forced to respond by a sudden shift to online teaching. Successful online teaching requires careful thinking, planning, and technical and human support from teachers. Based on the reflection on the offline classroom teaching of theoretical mechanics for many years and the online teaching practice of first half of 2020, the author summarizes effective strategies for implementing online teaching of theoretical mechanics. We prepared the theoretical mechanical lessons through a “student-centered” approach, such as preparing teaching materials, students and teaching methods. These teaching strategies include (i) Adopting live-stream teaching as the main teaching method, (ii) Applying electronic blackboard to online deductions, (iii) Linking theory to practice for better understanding of knowledge, (iv) Integrating curriculum content in ideological and moral education, (v) Conducting formative assessment to supervise and motivate online learning. The implementation of these online teaching strategies has effectively promoted the development of students' independent learning ability.

Theoretical Mechanics

1979 ◽  
Vol 63 (426) ◽  
pp. 276
Author(s):  
F. G. J. Norton ◽  
G. S. Light ◽  
T. S. Kalsi
Keyword(s):  
Theoretical Mechanics

scholarly journals The problem of fastening cargo on railway rolling stock

2020 ◽  
Vol 157 ◽  
pp. 01008 ◽  
Author(s):  
Khabibulla Turanov ◽  
Yadgor Ruzmetov
Keyword(s):  
Relative Motion ◽  
Geometric Parameters ◽  
New Method ◽  
Rolling Stock ◽  
Practical Application ◽  
Arbitrary Geometry ◽  
Basic Law ◽  
Theoretical Mechanics ◽  
Elastic Elements ◽  
Railway Rolling Stock

Fastening of cargo on the car. Calculation of load shift, elongation and forces in elastic elements of fasteners. Describe the parameters of the load and the physical and geometric parameters of the load fastening; give the results of the calculation of the longitudinal forces perceived by the elements of the load fastening. The article uses the basic law of dynamics in relative motion for the non-ideal connection known from theoretical mechanics. The results of the calculation of the longitudinal forces perceived by the load fastening elements, which allowed determining the load shifts along the car, elongation and forces in the flexible fastening elements are presented. Example calculation contributes to the practical application of a new method of calculating the elements of fastening on the car in the development of schemes of placement and fastening of goods of arbitrary geometry. The results of calculations revealed that the accepted value of the coefficient of longitudinal dynamics of the car corresponds to the shunting collision of the car on the hump yard in the marshalling yards.

An approach to congestion analysis in crowd dynamics models

2020 ◽  
Vol 30 (05) ◽  
pp. 867-890 ◽  
Author(s):  
Liang Li ◽  
Hong Liu ◽  
Yanbin Han
Keyword(s):  
Numerical Simulations ◽  
Social Force ◽  
Accurate Analysis ◽  
Multiscale Representation ◽  
Novel Approach ◽  
Generalized Force ◽  
Evacuation Management ◽  
Dynamics Models ◽  
Theoretical Mechanics ◽  
Pressure Propagation

This paper presents a novel approach to quantitatively analyzing pedestrian congestion in evacuation management based on the Hughes and social force models. An accurate analysis of crowds plays an important role in illustrating their dynamics. However, the majority of the existing approaches to analyzing pedestrian congestion are qualitative. Few methods focus on the quantification of the interactions between crowds and individual pedestrians. According to the proposed approach, analytic tools derived from theoretical mechanics are applied to provide a multiscale representation of such interactions. In particular, we introduce movement constraints that illustrate the macroscopic and microscopic states of crowds. Furthermore, we consider pressure propagation and changes in the position of pedestrians during the evacuation process to improve the accuracy of the analysis. The generalized force caused by the varied density of pedestrians is applied to calculate the final congestion. Numerical simulations demonstrate the validity of the proposed approach.

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