A Fourier sine-series method is used to solve the differential equation, together with the boundary conditions, for the transverse vibrations of a thin rectangular cantilever plate. Frequencies of vibration and the corresponding nodal lines are calculated and plotted as functions of the ratio of sides for five symmetric and four antisymmetric modes. Because of the large number of calculations made, some interesting phenomena appear which have not previously been reported in the literature.
{"title":"Vibrations of a Rectangular Cantilever Plate","authors":"R. Claassen, C. J. Thorne","doi":"10.2514/8.9800","DOIUrl":"https://doi.org/10.2514/8.9800","url":null,"abstract":"A Fourier sine-series method is used to solve the differential equation, together with the boundary conditions, for the transverse vibrations of a thin rectangular cantilever plate. Frequencies of vibration and the corresponding nodal lines are calculated and plotted as functions of the ratio of sides for five symmetric and four antisymmetric modes. Because of the large number of calculations made, some interesting phenomena appear which have not previously been reported in the literature.","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128287854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Note on Application of Transonic Linearization to an Airfoil with a Round Leading Edge","authors":"I. Hosokawa","doi":"10.2514/8.9837","DOIUrl":"https://doi.org/10.2514/8.9837","url":null,"abstract":"","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"101 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131528957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Determination of Orbit in Two-Body System","authors":"M. A. Rahman","doi":"10.2514/8.9832","DOIUrl":"https://doi.org/10.2514/8.9832","url":null,"abstract":"","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"159 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129979712","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Two-Inch Launcher for Aerodynamic Models","authors":"A. Seigel","doi":"10.2514/8.9820","DOIUrl":"https://doi.org/10.2514/8.9820","url":null,"abstract":"","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131341590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Effectiveness Concept in Mass-Transfer Cooling","authors":"O. E. Tewfik","doi":"10.2514/8.9819","DOIUrl":"https://doi.org/10.2514/8.9819","url":null,"abstract":"","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114650506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
An analysis is presented for determining the collapse of circular nngs and long cylinders subjected to primary and secondary creep -conditions at elevated temperatures. The types of loading considered for the present investigation are dead loading and hydros ta t ic pressure-type forces. The method of solution is based on ^.n application of the variational theorem for creep described in Ref. 1 with some additional terms being introduced for the pressure-type loading case. The general results are reduced to a relatively simple form for the theoretical predictions of collapse time and are graphically illustrated for a typical sample material.
{"title":"A Study of Creep Collapse of A Long Circular Cylindrical Shell Under Various Distributed Force Systems","authors":"J. Serpico","doi":"10.2514/8.9805","DOIUrl":"https://doi.org/10.2514/8.9805","url":null,"abstract":"An analysis is presented for determining the collapse of circular nngs and long cylinders subjected to primary and secondary creep -conditions at elevated temperatures. The types of loading considered for the present investigation are dead loading and hydros ta t ic pressure-type forces. The method of solution is based on ^.n application of the variational theorem for creep described in Ref. 1 with some additional terms being introduced for the pressure-type loading case. The general results are reduced to a relatively simple form for the theoretical predictions of collapse time and are graphically illustrated for a typical sample material.","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127632191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Satellite Lifetimes in Elliptic Orbits","authors":"J. Kork","doi":"10.2514/8.9796","DOIUrl":"https://doi.org/10.2514/8.9796","url":null,"abstract":"","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131409310","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Wake Behind an Oscillating Vehicle","authors":"S. Zeiberg","doi":"10.2514/8.9809","DOIUrl":"https://doi.org/10.2514/8.9809","url":null,"abstract":"","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134260333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
ther, the directions of these components have a degree of invariance in tha t one component remains normal to the radius vector and the other component remains normal to the line of apsides. Where this property has been noted in the literature its derivation has been accomplished by geometry in which little use is made of terms that are physically familiar in orbit mechanics. Also, no inferences seem to have been made that there is any practical application which takes advantage of the invariance of these two velocity components. To illustrate these invariant velocity components, designated Vk and Vp (Fig. 1), assume a two-body conic trajectory, either elliptic or hyperbolic, where
{"title":"Reply to Comment on the Termperature Distribution in a Spinning Sphere During Atmospheric Entry","authors":"H. Reismann","doi":"10.2514/8.9823","DOIUrl":"https://doi.org/10.2514/8.9823","url":null,"abstract":"ther, the directions of these components have a degree of invariance in tha t one component remains normal to the radius vector and the other component remains normal to the line of apsides. Where this property has been noted in the literature its derivation has been accomplished by geometry in which little use is made of terms that are physically familiar in orbit mechanics. Also, no inferences seem to have been made that there is any practical application which takes advantage of the invariance of these two velocity components. To illustrate these invariant velocity components, designated Vk and Vp (Fig. 1), assume a two-body conic trajectory, either elliptic or hyperbolic, where","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132932997","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Performance of Optimized Multistage Rockets","authors":"R. Cooper","doi":"10.2514/8.9808","DOIUrl":"https://doi.org/10.2514/8.9808","url":null,"abstract":"","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1962-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121604219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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