Pub Date : 2020-12-15DOI: 10.46991/pysu:a/2020.54.3.165
H. Margaryan, N. Hakobyan, V. Abrahamyan, P. K. Gasparyan, A. Yeremyan, N. Tabiryan, R. Vergara
The manufacturing technique of a millimetric sizes cantilever from photo-driven azobenzene polymer is described. The cantilever oscillations under the influence of laser radiation are studied. The possibility of making a micron-sized cantilever by a femtosecond laser initiated two-photon polymerization technique is shown. Such cantilever can become the basis for a high sensitive sensor, controlled directly by light.
{"title":"NEW PROSPECTS OF APPLICATION OF LIQUID CRYSTAL POLYMER CANTILEVER","authors":"H. Margaryan, N. Hakobyan, V. Abrahamyan, P. K. Gasparyan, A. Yeremyan, N. Tabiryan, R. Vergara","doi":"10.46991/pysu:a/2020.54.3.165","DOIUrl":"https://doi.org/10.46991/pysu:a/2020.54.3.165","url":null,"abstract":"The manufacturing technique of a millimetric sizes cantilever from photo-driven azobenzene polymer is described. The cantilever oscillations under the influence of laser radiation are studied. The possibility of making a micron-sized cantilever by a femtosecond laser initiated two-photon polymerization technique is shown. Such cantilever can become the basis for a high sensitive sensor, controlled directly by light.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86596906","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 : 2020-12-15DOI: 10.46991/pysu:a/2020.54.3.146
M. Belubekyan, A. Papyan
The paper considers the problem of vibration of a piezoelectric layer of the class $6~mm$ with initial conditions in the form of impact of an external electric field or displacement, when one edge is rigidly grounded and the other is free. The layer displacement and internal electric field are determined.
{"title":"VIBRATIONS OF PIEZOELECTRIC LAYER of CLASS 6mm WITH RIGIDLY CLAMPED AND FREE EDGES UNDER INITIAL CONDITIONСS","authors":"M. Belubekyan, A. Papyan","doi":"10.46991/pysu:a/2020.54.3.146","DOIUrl":"https://doi.org/10.46991/pysu:a/2020.54.3.146","url":null,"abstract":"The paper considers the problem of vibration of a piezoelectric layer of the class $6~mm$ with initial conditions in the form of impact of an external electric field or displacement, when one edge is rigidly grounded and the other is free. The layer displacement and internal electric field are determined.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84278113","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 : 2019-08-15DOI: 10.46991/pysu:a/2019.53.2.109
A. V. Kerobyan
This article deals with the problem of an elastic infinite strip, which is strengthened along its free boundary by a finite number of finite overlays with different elastic characteristics and small constant thicknesses. The interaction between the strip and the overlays is mediated by adhesive shear layers. The overlays are deformed under the action of horizontal forces. The problem of determination of unknown stresses acting between the strip and overlays are reduced to a system of Fredholm integral equations of the second kind for a finite number of unknown functions defined on different finite intervals. It is shown that in the certain domain of variation of the characteristic parameter of the problem this system of integral equations in Banach space may be solved by the method of successive approximations. Particular cases are discussed and the character and behaviour of unknown shear stresses are investigated.
{"title":"TRANSFER OF LOADS FROM A FINITE NUMBER OF ELASTIC OVERLAYS WITH FINITE LENGTHS TO AN ELASTIC STRIP THROUGH ADHESIVE SHEAR LAYERS","authors":"A. V. Kerobyan","doi":"10.46991/pysu:a/2019.53.2.109","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.2.109","url":null,"abstract":"This article deals with the problem of an elastic infinite strip, which is strengthened along its free boundary by a finite number of finite overlays with different elastic characteristics and small constant thicknesses. The interaction between the strip and the overlays is mediated by adhesive shear layers. The overlays are deformed under the action of horizontal forces. The problem of determination of unknown stresses acting between the strip and overlays are reduced to a system of Fredholm integral equations of the second kind for a finite number of unknown functions defined on different finite intervals. It is shown that in the certain domain of variation of the characteristic parameter of the problem this system of integral equations in Banach space may be solved by the method of successive approximations. Particular cases are discussed and the character and behaviour of unknown shear stresses are investigated.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74556127","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 : 2019-08-15DOI: 10.46991/pysu:a/2019.53.2.138
R. G. Petrosyan, M. Davtyan
In the article exact analytical and invariant solutions for both spinless and half-spin relativistic charged particles in crossed constant electric and magnetic fields, when $ H mathclose{>} E $ have been found. It is shown that in both cases the problem reduces to that of quantum harmonic oscillator.
本文给出了在恒电场和恒磁场交叉作用下，当$ H mathclose{>} E $时，无自旋和半自旋相对论性带电粒子的精确解析解和不变解。结果表明，在这两种情况下，问题都简化为量子谐振子的问题。
{"title":"INVARIANT SOLUTION OF THE DIRAC EQUATION IN THE CROSSED ELECTRIC AND MAGNETIC FIELDS $ (H mathclose{>} E) $","authors":"R. G. Petrosyan, M. Davtyan","doi":"10.46991/pysu:a/2019.53.2.138","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.2.138","url":null,"abstract":"In the article exact analytical and invariant solutions for both spinless and half-spin relativistic charged particles in crossed constant electric and magnetic fields, when $ H mathclose{>} E $ have been found. It is shown that in both cases the problem reduces to that of quantum harmonic oscillator.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"18 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81552524","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 : 2019-04-15DOI: 10.46991/pysu:a/2019.53.1.060
B. Minasyan, L. Odabashyan, Z. Baghdasaryan, A. Babajanyan, Kiejin Lee
Microwave stripline resonators of rectangular and double rectangular shapes for non-invasive sensing have been designed and investigated experimentally and numerically. The resonator of single rectangular shape has had a resonance at about 4.32 GHz for $ S_{21} $ and the resonator of double rectangular shape has had resonances at about 3.5 GHz for $ S_{21} $ and 5.85 GHz for $ S_{11} $. The simulation results for the sensitivity of the single rectangular and double rectangular resonators were -0.023 dB/(mg/dL) (glucose concentration) and 0.0143 dB/(mg/dL) (NaCl concentration), respectively. The electromagnetic field distribution of the resonators was visualized and compared using computer simulation software HFSS. The obtained data have shown the accuracy of resonators as a non-invasive sensor for biophysical applications.
{"title":"COMPUTER MODELING OF MICROWAVE STRIPLINE RESONATORS FOR NON-INVASIVE SENSING","authors":"B. Minasyan, L. Odabashyan, Z. Baghdasaryan, A. Babajanyan, Kiejin Lee","doi":"10.46991/pysu:a/2019.53.1.060","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.1.060","url":null,"abstract":"Microwave stripline resonators of rectangular and double rectangular shapes for non-invasive sensing have been designed and investigated experimentally and numerically. The resonator of single rectangular shape has had a resonance at about 4.32 GHz for $ S_{21} $ and the resonator of double rectangular shape has had resonances at about 3.5 GHz for $ S_{21} $ and 5.85 GHz for $ S_{11} $. The simulation results for the sensitivity of the single rectangular and double rectangular resonators were -0.023 dB/(mg/dL) (glucose concentration) and 0.0143 dB/(mg/dL) (NaCl concentration), respectively. The electromagnetic field distribution of the resonators was visualized and compared using computer simulation software HFSS. The obtained data have shown the accuracy of resonators as a non-invasive sensor for biophysical applications.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"80 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82058207","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 : 2019-04-15DOI: 10.46991/pysu:a/2019.53.1.047
A. Mamasakhlisov
The general formalism describing polyelectrolyte behavior in presence of sequence disorder is presented. The Edwards and Poisson–Boltzmann equations are obtained. The possible effect of the boundary conditions is discussed. Comparison between replica and constrained annealing approaches is made.
{"title":"SHORT-RANGE DISORDER IN POLYELECTROLYTES: REPLICAS AND CONSTRAINED ANNEALING COMPARISON","authors":"A. Mamasakhlisov","doi":"10.46991/pysu:a/2019.53.1.047","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.1.047","url":null,"abstract":"The general formalism describing polyelectrolyte behavior in presence of sequence disorder is presented. The Edwards and Poisson–Boltzmann equations are obtained. The possible effect of the boundary conditions is discussed. Comparison between replica and constrained annealing approaches is made.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80901106","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 : 2019-04-15DOI: 10.46991/pysu:a/2019.53.1.65
YSU Administration, Editorial Board of “Proceedings of the YSU”, Editorial Group of “Proceedings of the YSU”
{"title":"IN MEMORY OF MIHRAN S. SHARAMBEYAN","authors":"YSU Administration, Editorial Board of “Proceedings of the YSU”, Editorial Group of “Proceedings of the YSU”","doi":"10.46991/pysu:a/2019.53.1.65","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.1.65","url":null,"abstract":"","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"59 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84496144","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 : 2019-04-15DOI: 10.46991/pysu:a/2019.53.1.053
D. A. Martiryan
The main goal of this analysis is to study momentum (or kinetic energy) distribution of the backward going protons using data from CLAS EG2 experiment at Jefferson Lab. In this experiment scattering of a 5.014 GeV electron beam off various nucleus targets, ranging from deuterium to lead, have been recorded. The analysis includes selection of events in the reaction $ A(e, e^{prime}, P_{back}) X $, where $ P_{back} $ is a proton scattered above 90° either in the lab coordinate frame or with respect to the direction of the interacting virtual photon, then performing required corrections and studying the protons momentum distribution as a function of energy transfer. In this paper identification of electron-proton events is presented.
本分析的主要目的是利用杰弗逊实验室CLAS EG2实验的数据研究反向质子的动量(或动能)分布。在这个实验中，5.014 GeV的电子束从从氘到铅的各种核目标上散射，已经被记录下来。分析包括选择反应$ A(e, e^{prime}， P_{back}) X $中的事件，其中$ P_{back} $是在实验室坐标系中或相对于相互作用的虚光子方向散射在90°以上的质子，然后进行所需的修正并研究质子动量分布作为能量传递的函数。本文介绍了电子-质子事件的识别方法。
{"title":"SELECTION OF COINCIDENCE ELECTRON-PROTON EVENTS IN NUCLEI INTERACTION","authors":"D. A. Martiryan","doi":"10.46991/pysu:a/2019.53.1.053","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.1.053","url":null,"abstract":"The main goal of this analysis is to study momentum (or kinetic energy) distribution of the backward going protons using data from CLAS EG2 experiment at Jefferson Lab. In this experiment scattering of a 5.014 GeV electron beam off various nucleus targets, ranging from deuterium to lead, have been recorded. The analysis includes selection of events in the reaction $ A(e, e^{prime}, P_{back}) X $, where $ P_{back} $ is a proton scattered above 90° either in the lab coordinate frame or with respect to the direction of the interacting virtual photon, then performing required corrections and studying the protons momentum distribution as a function of energy transfer. In this paper identification of electron-proton events is presented.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"118 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85953266","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 : 2019-04-15DOI: 10.46991/pysu:a/2019.53.1.028
L. Budaghyan, D. Grigoryan, L. Torosyan
In this paper the canonical notion of $ delta $-reduction is considered. Typed $ lambda $-terms use variables of any order and constants of order $ leq 1 $, where the constants of order 1 are strongly computable, monotonic functions with indeterminate values of arguments. The canonical notion of $ delta $-reduction is the notion of $ delta $-reduction that is used in the implementation of functional programming languages. It is shown that for canonical notion of $ delta $-reduction SI-property is the necessary and sufficient condition for the uniqueness of $ betadelta $-normal form of typed $ lambda $-terms.
{"title":"A NECESSARY AND SUFFICIENT CONDITION FOR THE UNIQUENESS OF $ betadelta $-NORMAL FORM OF TYPED $ lambda $-TERMS FOR THE CANONICAL NOTION OF $ delta $-REDUCTION","authors":"L. Budaghyan, D. Grigoryan, L. Torosyan","doi":"10.46991/pysu:a/2019.53.1.028","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.1.028","url":null,"abstract":"In this paper the canonical notion of $ delta $-reduction is considered. Typed $ lambda $-terms use variables of any order and constants of order $ leq 1 $, where the constants of order 1 are strongly computable, monotonic functions with indeterminate values of arguments. The canonical notion of $ delta $-reduction is the notion of $ delta $-reduction that is used in the implementation of functional programming languages. It is shown that for canonical notion of $ delta $-reduction SI-property is the necessary and sufficient condition for the uniqueness of $ betadelta $-normal form of typed $ lambda $-terms.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"44 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88486171","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 : 2019-04-15DOI: 10.46991/pysu:a/2019.53.1.037
D. Grigoryan
In this paper we consider a substitution and inheritance property, which is the necessary and sufficient condition for the uniqueness of $ betadelta $-normal form of typed $ lambda $-terms, for canonical notion of $ delta $-reduction. Typed $ lambda $-terms use variables of any order and constants of order $ leq 1 $, where the constants of order 1 are strongly computable, monotonic functions with indeterminate values of arguments. The canonical notion of $ delta $-reduction is the notion of $ delta $-reduction that is used in the implementation of functional programming languages.
{"title":"ON THE UNIQUENESS OF $ betadelta $-NORMAL FORM OF TYPED $ lambda $-TERMS FOR THE CANONICAL NOTION OF $ delta $-REDUCTION","authors":"D. Grigoryan","doi":"10.46991/pysu:a/2019.53.1.037","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.1.037","url":null,"abstract":"In this paper we consider a substitution and inheritance property, which is the necessary and sufficient condition for the uniqueness of $ betadelta $-normal form of typed $ lambda $-terms, for canonical notion of $ delta $-reduction. Typed $ lambda $-terms use variables of any order and constants of order $ leq 1 $, where the constants of order 1 are strongly computable, monotonic functions with indeterminate values of arguments. The canonical notion of $ delta $-reduction is the notion of $ delta $-reduction that is used in the implementation of functional programming languages.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84632978","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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