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Errors in double sine series solutions for simply supported symmetrically laminated plates
The Rayleigh-Ritz method used with double sine series descriptions of transverse deflection has been applied extensively to obtain results for simply supported symmetrically laminated composite plates. The present work shows that, because of the inherent imposition of certain artificial derivative c...
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Published in: | International journal of mechanical sciences 1996-05, Vol.38 (5), p.517-526 |
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container_title | International journal of mechanical sciences |
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creator | Stone, M.A. Chandler, H.D. |
description | The Rayleigh-Ritz method used with double sine series descriptions of transverse deflection has been applied extensively to obtain results for simply supported symmetrically laminated composite plates. The present work shows that, because of the inherent imposition of certain artificial derivative constraints, the double sine series is not a generally admissible deflection function for such plates. Results are presented for linear bending, vibration and buckling analyses of plates in which through thickness shear and rotary inertia effects are negligible. The values obtained when using the double sine series are observed to overestimate the stiffness of plates having bending-twisting coupling. The extent of the errors possible is shown to be reasonably significant and it is noted that such results might be misleading to the designer. |
doi_str_mv | 10.1016/0020-7403(95)00067-4 |
format | article |
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The present work shows that, because of the inherent imposition of certain artificial derivative constraints, the double sine series is not a generally admissible deflection function for such plates. Results are presented for linear bending, vibration and buckling analyses of plates in which through thickness shear and rotary inertia effects are negligible. The values obtained when using the double sine series are observed to overestimate the stiffness of plates having bending-twisting coupling. 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The present work shows that, because of the inherent imposition of certain artificial derivative constraints, the double sine series is not a generally admissible deflection function for such plates. Results are presented for linear bending, vibration and buckling analyses of plates in which through thickness shear and rotary inertia effects are negligible. The values obtained when using the double sine series are observed to overestimate the stiffness of plates having bending-twisting coupling. The extent of the errors possible is shown to be reasonably significant and it is noted that such results might be misleading to the designer.</description><subject>bending</subject><subject>Buckling</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>laminated plates</subject><subject>Physics</subject><subject>Rayleigh-Ritz method</subject><subject>Solid mechanics</subject><subject>Static buckling and instability</subject><subject>Static elasticity</subject><subject>Static elasticity (thermoelasticity...)</subject><subject>Structural and continuum mechanics</subject><subject>vibration</subject><subject>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><subject>Vibrations and mechanical waves</subject><issn>0020-7403</issn><issn>1879-2162</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1996</creationdate><recordtype>article</recordtype><recordid>eNp9kE1r3DAQhkVpoNuk_6AHH0pID070MZbjSyGEbRII5JJcchFaaQwqsuVo7ML--8rdsMdcZpiZZ2Z4X8a-C34puNBXnEtet8DVRdf85JzrtoZPbCOu266WQsvPbHNEvrCvRH84Fy1v1Ia9bnNOmaowVj4tu4gVhbEEzAGpohSXOaSRqj7lMhmmuK9omaaUZ_QV7YcB5xycjaUf7RBGu_anWBKdsZPeRsJv7_mUvfzePt_e149Pdw-3N4-1UxrmGpoepbRaOodecQTdeeB8p7QvExAaALTyovFeKgCJnW29bhsodQ-wU6fs_HB3yultQZrNEMhhjHbEtJCRWkFTxBYQDqDLiShjb6YcBpv3RnCzGmlWl8zqkuka899IA2Xtx_t9S0Vpn-3oAh13VcGu26Zgvw4YFq1_A2ZDLuBYRIWMbjY-hY___AObg4fw</recordid><startdate>19960501</startdate><enddate>19960501</enddate><creator>Stone, M.A.</creator><creator>Chandler, H.D.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope></search><sort><creationdate>19960501</creationdate><title>Errors in double sine series solutions for simply supported symmetrically laminated plates</title><author>Stone, M.A. ; Chandler, H.D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c364t-45fe22a62cced30e469d400b36d5fe41644463d15dd23442e9a7d6754dd2f44b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1996</creationdate><topic>bending</topic><topic>Buckling</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>laminated plates</topic><topic>Physics</topic><topic>Rayleigh-Ritz method</topic><topic>Solid mechanics</topic><topic>Static buckling and instability</topic><topic>Static elasticity</topic><topic>Static elasticity (thermoelasticity...)</topic><topic>Structural and continuum mechanics</topic><topic>vibration</topic><topic>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</topic><topic>Vibrations and mechanical waves</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Stone, M.A.</creatorcontrib><creatorcontrib>Chandler, H.D.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>International journal of mechanical sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Stone, M.A.</au><au>Chandler, H.D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Errors in double sine series solutions for simply supported symmetrically laminated plates</atitle><jtitle>International journal of mechanical sciences</jtitle><date>1996-05-01</date><risdate>1996</risdate><volume>38</volume><issue>5</issue><spage>517</spage><epage>526</epage><pages>517-526</pages><issn>0020-7403</issn><eissn>1879-2162</eissn><coden>IMSCAW</coden><abstract>The Rayleigh-Ritz method used with double sine series descriptions of transverse deflection has been applied extensively to obtain results for simply supported symmetrically laminated composite plates. The present work shows that, because of the inherent imposition of certain artificial derivative constraints, the double sine series is not a generally admissible deflection function for such plates. Results are presented for linear bending, vibration and buckling analyses of plates in which through thickness shear and rotary inertia effects are negligible. The values obtained when using the double sine series are observed to overestimate the stiffness of plates having bending-twisting coupling. The extent of the errors possible is shown to be reasonably significant and it is noted that such results might be misleading to the designer.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/0020-7403(95)00067-4</doi><tpages>10</tpages></addata></record> |
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subjects | bending Buckling Exact sciences and technology Fundamental areas of phenomenology (including applications) laminated plates Physics Rayleigh-Ritz method Solid mechanics Static buckling and instability Static elasticity Static elasticity (thermoelasticity...) Structural and continuum mechanics vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Vibrations and mechanical waves |
title | Errors in double sine series solutions for simply supported symmetrically laminated plates |
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