Multiwall Rectangular Plates under Transverse Pressure—A Non-Linear Experimental and Numerical Study
Large deflection of rectangular plates under transverse pressure is described by Föppl–von Kármán equations, which have only approximated solutions. One of these methods is the separation into a small deflection plate and a thin membrane described by a simple third order polynomial expression. The p...
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MDPI AG
2023-03-01
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| Online Access: | https://www.mdpi.com/1996-1944/16/5/2041 |
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| author | Gilad Hakim Haim Abramovich |
| author_facet | Gilad Hakim Haim Abramovich |
| author_sort | Gilad Hakim |
| collection | DOAJ |
| description | Large deflection of rectangular plates under transverse pressure is described by Föppl–von Kármán equations, which have only approximated solutions. One of these methods is the separation into a small deflection plate and a thin membrane described by a simple third order polynomial expression. The present study presents an analysis to obtain analytical expressions for its coefficients by using the plate’s elastic properties and dimensions. To validate the non-linear relationship between the pressure and the lateral displacement of the multiwall plate, a vacuum chamber loading test is used to measure the plate’s response, with a large number of plates and length–width combinations. In addition, to further validate the analytical expressions, several finite element analyses (FEA) were performed. It has been found that the polynomial expression fairly describes the measured and calculated deflections. This method allows the prediction of plate deflections under pressure as soon as the elastic properties and the dimensions are known. |
| first_indexed | 2024-03-11T07:18:40Z |
| format | Article |
| id | doaj.art-89c0b9f5b6284d21b2d823712f301da2 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-11T07:18:40Z |
| publishDate | 2023-03-01 |
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| series | Materials |
| spelling | doaj.art-89c0b9f5b6284d21b2d823712f301da22023-11-17T08:06:24ZengMDPI AGMaterials1996-19442023-03-01165204110.3390/ma16052041Multiwall Rectangular Plates under Transverse Pressure—A Non-Linear Experimental and Numerical StudyGilad Hakim0Haim Abramovich1Faculty of Aerospace Engineering, Technion—Israel Institute of Technology (I.I.T.), Haifa 32000, IsraelFaculty of Aerospace Engineering, Technion—Israel Institute of Technology (I.I.T.), Haifa 32000, IsraelLarge deflection of rectangular plates under transverse pressure is described by Föppl–von Kármán equations, which have only approximated solutions. One of these methods is the separation into a small deflection plate and a thin membrane described by a simple third order polynomial expression. The present study presents an analysis to obtain analytical expressions for its coefficients by using the plate’s elastic properties and dimensions. To validate the non-linear relationship between the pressure and the lateral displacement of the multiwall plate, a vacuum chamber loading test is used to measure the plate’s response, with a large number of plates and length–width combinations. In addition, to further validate the analytical expressions, several finite element analyses (FEA) were performed. It has been found that the polynomial expression fairly describes the measured and calculated deflections. This method allows the prediction of plate deflections under pressure as soon as the elastic properties and the dimensions are known.https://www.mdpi.com/1996-1944/16/5/2041rectangular plate large deflectionFöppl–von Kármán equationsmultiwall platenonlinear load–deflection curvevacuum chamber loading test |
| spellingShingle | Gilad Hakim Haim Abramovich Multiwall Rectangular Plates under Transverse Pressure—A Non-Linear Experimental and Numerical Study Materials rectangular plate large deflection Föppl–von Kármán equations multiwall plate nonlinear load–deflection curve vacuum chamber loading test |
| title | Multiwall Rectangular Plates under Transverse Pressure—A Non-Linear Experimental and Numerical Study |
| title_full | Multiwall Rectangular Plates under Transverse Pressure—A Non-Linear Experimental and Numerical Study |
| title_fullStr | Multiwall Rectangular Plates under Transverse Pressure—A Non-Linear Experimental and Numerical Study |
| title_full_unstemmed | Multiwall Rectangular Plates under Transverse Pressure—A Non-Linear Experimental and Numerical Study |
| title_short | Multiwall Rectangular Plates under Transverse Pressure—A Non-Linear Experimental and Numerical Study |
| title_sort | multiwall rectangular plates under transverse pressure a non linear experimental and numerical study |
| topic | rectangular plate large deflection Föppl–von Kármán equations multiwall plate nonlinear load–deflection curve vacuum chamber loading test |
| url | https://www.mdpi.com/1996-1944/16/5/2041 |
| work_keys_str_mv | AT giladhakim multiwallrectangularplatesundertransversepressureanonlinearexperimentalandnumericalstudy AT haimabramovich multiwallrectangularplatesundertransversepressureanonlinearexperimentalandnumericalstudy |