Dynamiczne Zagadnienie Stateczności Powłoki Stożkowej w Ujęciu Nieliniowym
The paper presents a solution of the non-linear, dynamic problem of stability of a shell in the form of a truncated cone. The entire shell is loaded by an external pressure increasing rapidly in time. The simply supported shell is thin-walled and its initial deflections are of the order of thickness...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research
1973-06-01
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| Series: | Engineering Transactions |
| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/2467 |
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| _version_ | 1849321241398214656 |
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| author | S. Joniak W. Osmólski |
| author_facet | S. Joniak W. Osmólski |
| author_sort | S. Joniak |
| collection | DOAJ |
| description | The paper presents a solution of the non-linear, dynamic problem of stability of a shell in the form of a truncated cone. The entire shell is loaded by an external pressure increasing rapidly in time. The simply supported shell is thin-walled and its initial deflections are of the order of thickness. The governing equations consist of the equations of motion (including the inertia component in the normal direction) and the quasi-static compatibility equations. Solution of the compatibility conditions yields the function of forces (the functions of deflection and initial deflections being assumed) and is followed by the solution of the equilibrium equation. The Bubnov-Galerkin method is applied to the latter solution.
As a result, a non-linear differential equation of second order with respect to time is obtained. External pressure is assumed to vary in time a linear manner. A numerical solution and graphs conclude the paper.
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| format | Article |
| id | doaj-art-4e9462d613554fbfbbc97798c24f23a1 |
| institution | Kabale University |
| issn | 0867-888X 2450-8071 |
| language | English |
| publishDate | 1973-06-01 |
| publisher | Institute of Fundamental Technological Research |
| record_format | Article |
| series | Engineering Transactions |
| spelling | doaj-art-4e9462d613554fbfbbc97798c24f23a12025-08-20T03:49:49ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80711973-06-01213Dynamiczne Zagadnienie Stateczności Powłoki Stożkowej w Ujęciu NieliniowymS. Joniak0W. Osmólski1Politechnika Poznańska, PoznańPolitechnika Poznańska, PoznańThe paper presents a solution of the non-linear, dynamic problem of stability of a shell in the form of a truncated cone. The entire shell is loaded by an external pressure increasing rapidly in time. The simply supported shell is thin-walled and its initial deflections are of the order of thickness. The governing equations consist of the equations of motion (including the inertia component in the normal direction) and the quasi-static compatibility equations. Solution of the compatibility conditions yields the function of forces (the functions of deflection and initial deflections being assumed) and is followed by the solution of the equilibrium equation. The Bubnov-Galerkin method is applied to the latter solution. As a result, a non-linear differential equation of second order with respect to time is obtained. External pressure is assumed to vary in time a linear manner. A numerical solution and graphs conclude the paper. https://et.ippt.pan.pl/index.php/et/article/view/2467 |
| spellingShingle | S. Joniak W. Osmólski Dynamiczne Zagadnienie Stateczności Powłoki Stożkowej w Ujęciu Nieliniowym Engineering Transactions |
| title | Dynamiczne Zagadnienie Stateczności Powłoki Stożkowej w Ujęciu Nieliniowym |
| title_full | Dynamiczne Zagadnienie Stateczności Powłoki Stożkowej w Ujęciu Nieliniowym |
| title_fullStr | Dynamiczne Zagadnienie Stateczności Powłoki Stożkowej w Ujęciu Nieliniowym |
| title_full_unstemmed | Dynamiczne Zagadnienie Stateczności Powłoki Stożkowej w Ujęciu Nieliniowym |
| title_short | Dynamiczne Zagadnienie Stateczności Powłoki Stożkowej w Ujęciu Nieliniowym |
| title_sort | dynamiczne zagadnienie statecznosci powloki stozkowej w ujeciu nieliniowym |
| url | https://et.ippt.pan.pl/index.php/et/article/view/2467 |
| work_keys_str_mv | AT sjoniak dynamicznezagadnieniestatecznoscipowłokistozkowejwujeciunieliniowym AT wosmolski dynamicznezagadnieniestatecznoscipowłokistozkowejwujeciunieliniowym |