Article
Article name On the Motion of Semi Bounded String with Elastic Contact (Mass Point) at the End
Authors Yefimova I.A. Candidate of Physics and Mathematics, hol47@yandex.ru
Bibliographic description Efimova I. A. On the Motion of Semi Bounded String with Elastic Contact (Mass Point) at the End // Scholarly Notes Of Transbaikal State University. Series Physics, Mathematics, Engineering, Technology. 2017. Vol. 12, No 4. No. 4. PP. 6-10. DOI: 10.21209/2308-8761-2017-12-4-6-10. 10
Section PROBLEMS OF MATHEMATICAL PHYSICS. ANALYTICAL METHODS
UDK 517.958
DOI 10.21209/2308-8761-2017-12-4-6-10
Article type
Annotation We consider two boundary value problems for semi bounded string with non-uniform boundary conditions of type elastic contact and a point mass, which simulates non-ideal contacts of extended objects with the external environment. The equation and the initial conditions are homogeneous. Solving the considered task is given explicitly. Specific examples for which the solution of tasks is received in final form are given.
Key words boundary value problems, movement of semi bounded string, elastic contacts, the mass point
Article information
References 1. Kholodovskii S. E., Potekho A. O. Reshenie kraevoi zadachi o dvizhenii poluogranichennoi struny s granichnym usloviem tret’ego roda // Uchenye zapiski ZabGU. Ser. Fizika, matematika, tekhnika, tekhnologiya. 2013. № 3. S. 140-145. 2. Tikhonov A. N., Samarskii A. A. Uravneniya matematicheskoi fiziki. M.: Nauka, 1972. 735 s.
Full articleOn the Motion of Semi Bounded String with Elastic Contact (Mass Point) at the End