Theoretical analysis of time period of rectangular plate with variable thickness and temperature

2019 ◽  
Author(s):  
Neeraj Lather ◽  
Anup Kumar ◽  
Amit Sharma
Keyword(s):  
Theoretical Analysis ◽  
Rectangular Plate ◽  
Variable Thickness ◽  
Time Period

A Levy-Type Solution for a Rectangular Plate of Variable Thickness

1958 ◽  
Vol 25 (2) ◽  
pp. 297-298
Author(s):  
H. D. Conway
Keyword(s):  
Boundary Conditions ◽  
Rectangular Plate ◽  
Variable Thickness ◽  
Thickness Variation ◽  
Type Solution ◽  
Arbitrary Boundary ◽  
Simply Supported ◽  
Arbitrary Boundary Conditions ◽  
Plate Of Variable Thickness

Abstract A solution is given for the bending of a uniformly loaded rectangular plate, simply supported on two opposite edges and having arbitrary boundary conditions on the others. The thickness variation is taken as exponential in order to make the solution tractable, and thus closely approximates to uniform taper if the latter is small.

Buckling of Rectangular Plates With General Variation in Thickness

1973 ◽  
Vol 40 (3) ◽  
pp. 745-751 ◽  
Author(s):  
D. S. Chehil ◽  
S. S. Dua
Keyword(s):  
Rectangular Plate ◽  
Variable Thickness ◽  
Perturbation Technique ◽  
Thickness Variation ◽  
Rectangular Plates ◽  
Bending Vibration ◽  
Simply Supported ◽  
Buckling Stress ◽  
General Variation ◽  
Plate Of Variable Thickness

A perturbation technique is employed to determine the critical buckling stress of a simply supported rectangular plate of variable thickness. The differential equation is derived for a general thickness variation. The problem of bending, vibration, buckling, and that of dynamic stability of a variable thickness plate can be deduced from this equation. The problem of buckling of a rectangular plate with simply supported edges and having general variation in thickness in one direction is considered in detail. The solution is presented in a form such as can be easily adopted for computing critical buckling stress, once the thickness variation is known. The numerical values obtained from the present analysis are in excellent agreement with the published results.

scholarly journals Ukrainian and Foreign Experience in Applying Biographical Method to Study Prominent Figures in Pedagogy

2018 ◽  
Vol 8 (3) ◽  
pp. 92-98
Author(s):  
Alla Samko
Keyword(s):  
Theoretical Analysis ◽  
Main Tool ◽  
Social Contexts ◽  
Public And Private ◽  
Domain Specific ◽  
Time Period ◽  
Unique Identity ◽  
Life Journey ◽  
The Individual ◽  
The Given

Abstract The article analyzes the term “biographical method”, which consists in the idea of a biography being one’s life journey. Its essence was disclosed through the views of the leading Ukrainian and foreign scholars. The origins of the biographical method as the main tool for studying prominent figures in pedagogy were specified. The article contains the domain-specific classification of biographical sources including autobiographies, biographies, life stories, personal experience stories, surveys and interviews, public and private archival materials, printed and hand-written heritage of authors, memoirs of their contemporaries, etc. Specific attention is paid to the fact that biographical researches can characterize the course of life of a particular figure in pedagogy, the era in which he/she lived and worked, the process of shaping and developing his/her worldview and pedagogical views. Consequently, one can highlight the main stages in the pedagogue’s life, better understand the essence of his/her cultural, educational activities, grasp his/her unique identity, reveal certain patterns in various facts of his/her biography that have caused the emergence and development of particular educational and pedagogical ideas. Based on theoretical analysis of the works by Ukrainian and foreign scholars, it was concluded that the biographical method could determine the influence of society on the development of the individual, his/her life position, values and ideals, different moments of the society’s life at one time period or another, social contexts, rules and norms. It was found that when studying the biographies of prominent figures in pedagogy one should be able to balance the given material on the pedagogue’s activities, the description of his/her works and theoretical analysis and understanding of the trends in the development of his/her views and a reasonable assessment of his/her contributions.

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