Computational Peculiarities of the Method of Initial Functions

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференции

Аннотация

The paper investigates the computational features of the method of initial functions. Its idea is to express the components of the stress and strain state of an elastic body through initial functions defined on the initial line (a 2D problem) or surface (a 3D problem). A solution by the method of initial functions for a linear-elastic orthotropic rectangle under plane deformation is constructed. Its implementation when initial functions are represented by trigonometric functions is given. The influence of the value of a load harmonic on stable computations is studied on the example of bending of a free-supported rectangle of average thickness under the normal load specified on its upper boundary face. The causes of computational instability of the algorithm of the method of initial functions are found out. A modified algorithm is presented to increase twice the limit value of the “stable” harmonic. It is noted that calculations with a long mantissa should be cardinally performed to solve the problem of unstable computations. The results of computational experiments to determine the maximum harmonics for stable calculations of orthotropic rectangle depending on its relative thickness and mantissa length are presented. Implementation of the algorithm of the initial function method and calculations are performed using the system of analytical calculations Maple.

Язык оригиналаанглийский
Название основной публикацииComputational Science and Its Applications – ICCSA 2019
Подзаголовок основной публикации19th International Conference, Proceedings, Part I
РедакторыSanjay Misra, Osvaldo Gervasi, Beniamino Murgante, et al.
Место публикацииCham
ИздательSpringer
Страницы37-51
ISBN (печатное издание)9783030242886
DOI
СостояниеОпубликовано - 2019
Событие19th International Conference on Computational Science and Its Applications, ICCSA 2019 - Saint Petersburg, Российская Федерация
Продолжительность: 1 июл 20194 июл 2019

Серия публикаций

НазваниеLecture Notes in Computer Science
Том11619
ISSN (печатное издание)0302-9743
ISSN (электронное издание)1611-3349

Конференция

Конференция19th International Conference on Computational Science and Its Applications, ICCSA 2019
СтранаРоссийская Федерация
ГородSaint Petersburg
Период1/07/194/07/19

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Предметные области Scopus

  • Теоретические компьютерные науки
  • Компьютерные науки (все)

Цитировать

Matrosov, A. V. (2019). Computational Peculiarities of the Method of Initial Functions. В S. Misra, O. Gervasi, B. Murgante, & et al. (Ред.), Computational Science and Its Applications – ICCSA 2019 : 19th International Conference, Proceedings, Part I (стр. 37-51). (Lecture Notes in Computer Science ; Том 11619 ). Cham: Springer. https://doi.org/10.1007/978-3-030-24289-3_4