Pub Date : 1993-12-20DOI: 10.1360/YA1993-36-12-1468
Z. Qian
In the light of the theory of second-order potentials in nonlinear acoustics proposed by the author, this paper investigates the second-order harmonics resulting from an incident bulk wave in a solid with a plane boundary when the P, SV and SH waves are incident. It is shown that several bulk waves of the second-order harmonics occur in solid media besides second-order surface waves. Some of the waves are accumulated and some waves propagate in the direction parallel to the boundary surface. In order to obtain enough expressions for all the third-order elasticity constants, an SH-wave incidence is necessary in addition to the P and SV wave ones. It is pointed out that the contribution of the nonaccumulative waves and the waves resulting from the boundary surface are very important for measuring the nonlinear wave fields.
{"title":"Nonlinear Acoustics of Bounded Solid-Reflection and Refraction of Second-order Bulk Waves (I)——P Incidence~*","authors":"Z. Qian","doi":"10.1360/YA1993-36-12-1468","DOIUrl":"https://doi.org/10.1360/YA1993-36-12-1468","url":null,"abstract":"In the light of the theory of second-order potentials in nonlinear acoustics proposed by the author, this paper investigates the second-order harmonics resulting from an incident bulk wave in a solid with a plane boundary when the P, SV and SH waves are incident. It is shown that several bulk waves of the second-order harmonics occur in solid media besides second-order surface waves. Some of the waves are accumulated and some waves propagate in the direction parallel to the boundary surface. In order to obtain enough expressions for all the third-order elasticity constants, an SH-wave incidence is necessary in addition to the P and SV wave ones. It is pointed out that the contribution of the nonaccumulative waves and the waves resulting from the boundary surface are very important for measuring the nonlinear wave fields.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122969794","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}
Pub Date : 1993-12-20DOI: 10.1360/YA1993-36-12-1501
Sun Dalin, Lei Yongquan, Wu Jing, Wang QI-DONGbr, Wang Rong
Palladium bars in different states were used as cathodes to electrolyse the heavy water in a special calorimeter. During the seven long-period electrolysis tests, the abnormal temperature rise was observed only once. On the basis of experimental data and theoretical analysis, the possibilities of chemical and D-D fusion reactions which may cause this phenomenon were eliminated. According to our calculations, we believe that the abnormal temperature rise during the electrolysis of heavy water may result from the release of the elastic strain energy accumulated in the palladium cathodes.
{"title":"An Explanation for the Abnormal Temperature Rise of Palladium Cathode During Electrochemical Deuterium Charging","authors":"Sun Dalin, Lei Yongquan, Wu Jing, Wang QI-DONGbr, Wang Rong","doi":"10.1360/YA1993-36-12-1501","DOIUrl":"https://doi.org/10.1360/YA1993-36-12-1501","url":null,"abstract":"Palladium bars in different states were used as cathodes to electrolyse the heavy water in a special calorimeter. During the seven long-period electrolysis tests, the abnormal temperature rise was observed only once. On the basis of experimental data and theoretical analysis, the possibilities of chemical and D-D fusion reactions which may cause this phenomenon were eliminated. According to our calculations, we believe that the abnormal temperature rise during the electrolysis of heavy water may result from the release of the elastic strain energy accumulated in the palladium cathodes.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127443379","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}
Pub Date : 1993-11-20DOI: 10.1360/YA1993-36-11-1296
Y. Yirang
A 2-dimensional, multicomponent, multiphase, and incompressible compositional reservoir simulator has been developed and applied to chemical flooding (surfactants, alcohol and polymers) and convergence analysis. The characteristic finite difference methods for 2-dimensional enhanced oil recovery can be described as a coupled system of nonlinear partial differential equations. For a generic case of the cross interference and bounded region, we put forward a kind of characteristic finite difference schemes and make use of thick and thin grids to form a complete set, and of calculus of variations, the theory of prior estimates and techniques. Optimal order estimates in L 2 norm are derived for the error in the approximate solutions. Thus we have thoroughly solved the well-known theoretical problem proposed by a famous scientist, J. Douglas, Jr.
{"title":"The Characteristic Finite Difference Methods for Enhanced Oil Recovery Simulation and L 2 Estimates","authors":"Y. Yirang","doi":"10.1360/YA1993-36-11-1296","DOIUrl":"https://doi.org/10.1360/YA1993-36-11-1296","url":null,"abstract":"A 2-dimensional, multicomponent, multiphase, and incompressible compositional reservoir simulator has been developed and applied to chemical flooding (surfactants, alcohol and polymers) and convergence analysis. The characteristic finite difference methods for 2-dimensional enhanced oil recovery can be described as a coupled system of nonlinear partial differential equations. For a generic case of the cross interference and bounded region, we put forward a kind of characteristic finite difference schemes and make use of thick and thin grids to form a complete set, and of calculus of variations, the theory of prior estimates and techniques. Optimal order estimates in L 2 norm are derived for the error in the approximate solutions. Thus we have thoroughly solved the well-known theoretical problem proposed by a famous scientist, J. Douglas, Jr.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127825573","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}
Pub Date : 1993-11-20DOI: 10.1360/ZA1993-23-11-1155
黄建华, 李慧陵
{"title":"包含M 11 的秩2特征3amalgam","authors":"黄建华, 李慧陵","doi":"10.1360/ZA1993-23-11-1155","DOIUrl":"https://doi.org/10.1360/ZA1993-23-11-1155","url":null,"abstract":"","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122838794","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}
Pub Date : 1993-11-20DOI: 10.1360/ZA1993-23-11-1141
尹会成, 仇庆久
{"title":"高阶非线性严格双曲方程(组)相切余法波的干扰","authors":"尹会成, 仇庆久","doi":"10.1360/ZA1993-23-11-1141","DOIUrl":"https://doi.org/10.1360/ZA1993-23-11-1141","url":null,"abstract":"","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122152230","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}
Pub Date : 1993-10-20DOI: 10.1360/YA1993-36-10-1212
Li Zi-ping
A generalized first Noether theorem (GFNT) originating from the invariance under the finite continuous group for singular high-order Lagrangian and a generalized second Noether theorem (or generalized Noether identities (GNI)) for variant system under the infinite continuous group of field theory in canonical formalism are derived. The strong and weak conservation laws in canonical formalism are also obtained. It is pointed out that some variant systems also have Dirac constraint. Based on the canonical action, the generalized Poincare-Cartan integral invariant (GPCⅡ) for singular high-order Lagrangian in the field theory is deduced. Some confusions in literafure are clarified. The GPCⅡ connected with canonical equations and canonical transformation are discussed.
{"title":"Generalized Noether Theorem and Poincaré-Cartan Integral Invariant for Singular High-order Lagrangian in Fields Theories","authors":"Li Zi-ping","doi":"10.1360/YA1993-36-10-1212","DOIUrl":"https://doi.org/10.1360/YA1993-36-10-1212","url":null,"abstract":"A generalized first Noether theorem (GFNT) originating from the invariance under the finite continuous group for singular high-order Lagrangian and a generalized second Noether theorem (or generalized Noether identities (GNI)) for variant system under the infinite continuous group of field theory in canonical formalism are derived. The strong and weak conservation laws in canonical formalism are also obtained. It is pointed out that some variant systems also have Dirac constraint. Based on the canonical action, the generalized Poincare-Cartan integral invariant (GPCⅡ) for singular high-order Lagrangian in the field theory is deduced. Some confusions in literafure are clarified. The GPCⅡ connected with canonical equations and canonical transformation are discussed.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130837892","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}
Pub Date : 1993-09-20DOI: 10.1360/YA1993-36-9-1047
Zhou Qing
This paper discusses discrete elementary subgroups in the Mobius group M( R n ).With a help of geometry,it is proved that these groups are isomorphic to either a group extension of Z by a finite subgroup of SO ( n ) or an extension of a finite group by a free Abelian group of rank k ≤ n .
{"title":"The Discrete Elementary Groups","authors":"Zhou Qing","doi":"10.1360/YA1993-36-9-1047","DOIUrl":"https://doi.org/10.1360/YA1993-36-9-1047","url":null,"abstract":"This paper discusses discrete elementary subgroups in the Mobius group M( R n ).With a help of geometry,it is proved that these groups are isomorphic to either a group extension of Z by a finite subgroup of SO ( n ) or an extension of a finite group by a free Abelian group of rank k ≤ n .","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125090469","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}
Pub Date : 1993-09-20DOI: 10.1360/YA1993-36-9-1140
Chen Hanfu
For the completelv observed discrete-time stochastic system the adaptive control is given so that a quadratic cost is minimized and the unknown coefficients of the system are consistently estimated.The feature of the proposed adaptive control scheme is that it a priori requires neither stability nor minimum-phase of the system.
{"title":"Adaptive LQ Control for Discrete-Time Stochastic Systems","authors":"Chen Hanfu","doi":"10.1360/YA1993-36-9-1140","DOIUrl":"https://doi.org/10.1360/YA1993-36-9-1140","url":null,"abstract":"For the completelv observed discrete-time stochastic system the adaptive control is given so that a quadratic cost is minimized and the unknown coefficients of the system are consistently estimated.The feature of the proposed adaptive control scheme is that it a priori requires neither stability nor minimum-phase of the system.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127127984","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}
Pub Date : 1993-09-20DOI: 10.1360/YA1993-36-9-1063
Rao Guang-hui, Qiao Zhi-yu, L. Jing-Kui
The phase diagram of B 2 O 4 -Na 2 B 2 O 4 -K 2 B 2 O 4 ternary system has been studied by combination of experimental measurement with theoretical calculation.On the basis of selfconsistent thermodynamic analysis of three sub-binary phase diagrams,the optimized the- rmodynamic data of these sub-binary systems are extrapolated to ternary system by asymmet- rical Toop approach,and the B 2 O 4 -Na 2 B 2 O 4 -K 2 B 2 O 4 ternary phase diagram is calculated. In comparison with a measured typical vertical section,the calculated ternary phase diagram is quite satisfactory.
{"title":"Study on BaB 2 O 4 -Na 2 B 2 O 4 -K 2 B 2 O 4 Ternary System","authors":"Rao Guang-hui, Qiao Zhi-yu, L. Jing-Kui","doi":"10.1360/YA1993-36-9-1063","DOIUrl":"https://doi.org/10.1360/YA1993-36-9-1063","url":null,"abstract":"The phase diagram of B 2 O 4 -Na 2 B 2 O 4 -K 2 B 2 O 4 ternary system has been studied by combination of experimental measurement with theoretical calculation.On the basis of selfconsistent thermodynamic analysis of three sub-binary phase diagrams,the optimized the- rmodynamic data of these sub-binary systems are extrapolated to ternary system by asymmet- rical Toop approach,and the B 2 O 4 -Na 2 B 2 O 4 -K 2 B 2 O 4 ternary phase diagram is calculated. In comparison with a measured typical vertical section,the calculated ternary phase diagram is quite satisfactory.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121293543","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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