Vibrations of Doubly-Rotated-Cut Quartz Plates with Monoclinic Symmetry

For certain doubly rotated cuts of quartz, the elastic stiffness constants have the same symmetry and absolute values as those for certain rotated-Y-cuts; but four of the thirteen constants have signs reversed. Mathematical solutions of corresponding probelms for the two types of cut have the same f...

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1. Verfasser:	Mindlin,R D
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Sprache:	eng
Schlagworte:	Constants Edges Elastic properties Equations Mathematical analysis Mechanics Numerical Mathematics Plane waves Plates Quartz resonators Stiffness Stress strain relations Symmetry Vibration WUNR064643
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creator	Mindlin,R D
description	For certain doubly rotated cuts of quartz, the elastic stiffness constants have the same symmetry and absolute values as those for certain rotated-Y-cuts; but four of the thirteen constants have signs reversed. Mathematical solutions of corresponding probelms for the two types of cut have the same form but the numerical results may be the same or different according as the constants with changed signs enter the solution as even or odd powers or products. Examples of both are exhibited. (Author)
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Mathematical solutions of corresponding probelms for the two types of cut have the same form but the numerical results may be the same or different according as the constants with changed signs enter the solution as even or odd powers or products. Examples of both are exhibited. (Author)</description><language>eng</language><subject>Constants ; Edges ; Elastic properties ; Equations ; Mathematical analysis ; Mechanics ; Numerical Mathematics ; Plane waves ; Plates ; Quartz resonators ; Stiffness ; Stress strain relations ; Symmetry ; Vibration ; WUNR064643</subject><creationdate>1983</creationdate><rights>APPROVED FOR PUBLIC RELEASE</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,780,885,27567,27568</link.rule.ids><linktorsrc>$$Uhttps://apps.dtic.mil/sti/citations/ADA135948$$EView_record_in_DTIC$$FView_record_in_$$GDTIC$$Hfree_for_read</linktorsrc></links><search><creatorcontrib>Mindlin,R D</creatorcontrib><creatorcontrib>MINDLIN (RAYMOND D) GRANTHAM NH</creatorcontrib><title>Vibrations of Doubly-Rotated-Cut Quartz Plates with Monoclinic Symmetry</title><description>For certain doubly rotated cuts of quartz, the elastic stiffness constants have the same symmetry and absolute values as those for certain rotated-Y-cuts; but four of the thirteen constants have signs reversed. Mathematical solutions of corresponding probelms for the two types of cut have the same form but the numerical results may be the same or different according as the constants with changed signs enter the solution as even or odd powers or products. Examples of both are exhibited. (Author)</description><subject>Constants</subject><subject>Edges</subject><subject>Elastic properties</subject><subject>Equations</subject><subject>Mathematical analysis</subject><subject>Mechanics</subject><subject>Numerical Mathematics</subject><subject>Plane waves</subject><subject>Plates</subject><subject>Quartz resonators</subject><subject>Stiffness</subject><subject>Stress strain relations</subject><subject>Symmetry</subject><subject>Vibration</subject><subject>WUNR064643</subject><fulltext>true</fulltext><rsrctype>report</rsrctype><creationdate>1983</creationdate><recordtype>report</recordtype><sourceid>1RU</sourceid><recordid>eNrjZHAPy0wqSizJzM8rVshPU3DJL03KqdQNyi9JLElN0XUuLVEILE0sKqlSCMgBihQrlGeWZCj45uflJ-dk5mUmKwRX5uamlhRV8jCwpiXmFKfyQmluBhk31xBnD92Ukszk-OKSzLzUknhHF0dDY1NLEwtjAtIAYE8xJQ</recordid><startdate>19831130</startdate><enddate>19831130</enddate><creator>Mindlin,R D</creator><scope>1RU</scope><scope>BHM</scope></search><sort><creationdate>19831130</creationdate><title>Vibrations of Doubly-Rotated-Cut Quartz Plates with Monoclinic Symmetry</title><author>Mindlin,R D</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-dtic_stinet_ADA1359483</frbrgroupid><rsrctype>reports</rsrctype><prefilter>reports</prefilter><language>eng</language><creationdate>1983</creationdate><topic>Constants</topic><topic>Edges</topic><topic>Elastic properties</topic><topic>Equations</topic><topic>Mathematical analysis</topic><topic>Mechanics</topic><topic>Numerical Mathematics</topic><topic>Plane waves</topic><topic>Plates</topic><topic>Quartz resonators</topic><topic>Stiffness</topic><topic>Stress strain relations</topic><topic>Symmetry</topic><topic>Vibration</topic><topic>WUNR064643</topic><toplevel>online_resources</toplevel><creatorcontrib>Mindlin,R D</creatorcontrib><creatorcontrib>MINDLIN (RAYMOND D) GRANTHAM NH</creatorcontrib><collection>DTIC Technical Reports</collection><collection>DTIC STINET</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Mindlin,R D</au><aucorp>MINDLIN (RAYMOND D) GRANTHAM NH</aucorp><format>book</format><genre>unknown</genre><ristype>RPRT</ristype><btitle>Vibrations of Doubly-Rotated-Cut Quartz Plates with Monoclinic Symmetry</btitle><date>1983-11-30</date><risdate>1983</risdate><abstract>For certain doubly rotated cuts of quartz, the elastic stiffness constants have the same symmetry and absolute values as those for certain rotated-Y-cuts; but four of the thirteen constants have signs reversed. Mathematical solutions of corresponding probelms for the two types of cut have the same form but the numerical results may be the same or different according as the constants with changed signs enter the solution as even or odd powers or products. Examples of both are exhibited. (Author)</abstract><oa>free_for_read</oa></addata></record>
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subjects	Constants Edges Elastic properties Equations Mathematical analysis Mechanics Numerical Mathematics Plane waves Plates Quartz resonators Stiffness Stress strain relations Symmetry Vibration WUNR064643
title	Vibrations of Doubly-Rotated-Cut Quartz Plates with Monoclinic Symmetry
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