Algorithm for numerical calculation of nonlinear lenticular membrane-pneumatic systems by iterative method of parameter increments taking into account the aftereffect of air pressure
Objective. The purpose of this study is to create a static calculation algorithm to determine the maximum bearing capacity of a lenticular membrane-pneumatic system for covering large spans under the action of external force loads.Method. A numerical study of a large-span membranepneumatic structure...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | Russian |
| Published: |
Dagestan State Technical University
2022-08-01
|
| Series: | Вестник Дагестанского государственного технического университета: Технические науки |
| Subjects: | |
| Online Access: | https://vestnik.dgtu.ru/jour/article/view/1089 |
| _version_ | 1797694899366133760 |
|---|---|
| author | A. Yu. Kim M. F. Amoyan V. E. Khapilin |
| author_facet | A. Yu. Kim M. F. Amoyan V. E. Khapilin |
| author_sort | A. Yu. Kim |
| collection | DOAJ |
| description | Objective. The purpose of this study is to create a static calculation algorithm to determine the maximum bearing capacity of a lenticular membrane-pneumatic system for covering large spans under the action of external force loads.Method. A numerical study of a large-span membranepneumatic structure was carried out by the step method of incrementing parameters using the finite element method and the Euler-Cauchy numerical procedure of the third order of accuracy at the step.Result. The authors have developed a technique for computer static calculation of geometrically and physically nonlinear lenticular membrane-pneumatic systems of coatings for large span structures by the iterative method of parameter increments with the phased application of the finite element method in the form of the displacement method, the universal equation of gas state and the improved Euler-Cauchy numerical procedure of the third order of accuracy.Conclusion. Ignoring the aftereffect in the calculations means the imbalance of the system due to unbalanced pneumatic forces calculated with an error of 11.2% and affecting, as the calculations showed, in the amount of approximately 7% percent on the increment of excess air pressure in the lens. |
| first_indexed | 2024-03-12T03:04:33Z |
| format | Article |
| id | doaj.art-d74f51c57b2248d28fce9192ebdeb58d |
| institution | Directory Open Access Journal |
| issn | 2073-6185 2542-095X |
| language | Russian |
| last_indexed | 2024-03-12T03:04:33Z |
| publishDate | 2022-08-01 |
| publisher | Dagestan State Technical University |
| record_format | Article |
| series | Вестник Дагестанского государственного технического университета: Технические науки |
| spelling | doaj.art-d74f51c57b2248d28fce9192ebdeb58d2023-09-03T14:33:10ZrusDagestan State Technical UniversityВестник Дагестанского государственного технического университета: Технические науки2073-61852542-095X2022-08-0149213314210.21822/2073-6185-2022-49-2-133-142706Algorithm for numerical calculation of nonlinear lenticular membrane-pneumatic systems by iterative method of parameter increments taking into account the aftereffect of air pressureA. Yu. Kim0M. F. Amoyan1V. E. Khapilin2Саратовский государственный технический университет имени Гагарина Ю.А.Саратовский государственный технический университет имени Гагарина Ю.А.Саратовский государственный технический университет имени Гагарина Ю.А.Objective. The purpose of this study is to create a static calculation algorithm to determine the maximum bearing capacity of a lenticular membrane-pneumatic system for covering large spans under the action of external force loads.Method. A numerical study of a large-span membranepneumatic structure was carried out by the step method of incrementing parameters using the finite element method and the Euler-Cauchy numerical procedure of the third order of accuracy at the step.Result. The authors have developed a technique for computer static calculation of geometrically and physically nonlinear lenticular membrane-pneumatic systems of coatings for large span structures by the iterative method of parameter increments with the phased application of the finite element method in the form of the displacement method, the universal equation of gas state and the improved Euler-Cauchy numerical procedure of the third order of accuracy.Conclusion. Ignoring the aftereffect in the calculations means the imbalance of the system due to unbalanced pneumatic forces calculated with an error of 11.2% and affecting, as the calculations showed, in the amount of approximately 7% percent on the increment of excess air pressure in the lens.https://vestnik.dgtu.ru/jour/article/view/1089двухпоясные мембранно-пневматические системывоздухоопорный эффектчисленная процедура эйлера – кошибольшепролетная мембранно-стержневая системанесущая способностьучет последействия давления воздуха в системе |
| spellingShingle | A. Yu. Kim M. F. Amoyan V. E. Khapilin Algorithm for numerical calculation of nonlinear lenticular membrane-pneumatic systems by iterative method of parameter increments taking into account the aftereffect of air pressure Вестник Дагестанского государственного технического университета: Технические науки двухпоясные мембранно-пневматические системы воздухоопорный эффект численная процедура эйлера – коши большепролетная мембранно-стержневая система несущая способность учет последействия давления воздуха в системе |
| title | Algorithm for numerical calculation of nonlinear lenticular membrane-pneumatic systems by iterative method of parameter increments taking into account the aftereffect of air pressure |
| title_full | Algorithm for numerical calculation of nonlinear lenticular membrane-pneumatic systems by iterative method of parameter increments taking into account the aftereffect of air pressure |
| title_fullStr | Algorithm for numerical calculation of nonlinear lenticular membrane-pneumatic systems by iterative method of parameter increments taking into account the aftereffect of air pressure |
| title_full_unstemmed | Algorithm for numerical calculation of nonlinear lenticular membrane-pneumatic systems by iterative method of parameter increments taking into account the aftereffect of air pressure |
| title_short | Algorithm for numerical calculation of nonlinear lenticular membrane-pneumatic systems by iterative method of parameter increments taking into account the aftereffect of air pressure |
| title_sort | algorithm for numerical calculation of nonlinear lenticular membrane pneumatic systems by iterative method of parameter increments taking into account the aftereffect of air pressure |
| topic | двухпоясные мембранно-пневматические системы воздухоопорный эффект численная процедура эйлера – коши большепролетная мембранно-стержневая система несущая способность учет последействия давления воздуха в системе |
| url | https://vestnik.dgtu.ru/jour/article/view/1089 |
| work_keys_str_mv | AT ayukim algorithmfornumericalcalculationofnonlinearlenticularmembranepneumaticsystemsbyiterativemethodofparameterincrementstakingintoaccounttheaftereffectofairpressure AT mfamoyan algorithmfornumericalcalculationofnonlinearlenticularmembranepneumaticsystemsbyiterativemethodofparameterincrementstakingintoaccounttheaftereffectofairpressure AT vekhapilin algorithmfornumericalcalculationofnonlinearlenticularmembranepneumaticsystemsbyiterativemethodofparameterincrementstakingintoaccounttheaftereffectofairpressure |