Eigenproblems in nanomechanics

• Autorzy: Muc A. , Banaś A.

Identyfikatory

DOI

10.1515/bpasts-2015-0093

• Języki publikacji: EN

Abstrakty

EN

The paper is semitutorial in nature to make it accessible to readers from a broad range of disciplines. Our particular focus is on cataloging the known problems in nanomechanics as eigenproblems. Physical insights obtained from both analytical results and numerical simulations of various researchers (including our own) are also discussed. The paper is organized in two broad sections. In the second section the attention is focused on the analysis of quantum dots. The analysis of electronic properties of strained semiconductor structures is reduced here to the solution of a linear boundary value problem (the classical Helmholtz wave equation). In Sec 3, we provide, intermixed with a literature review, details on various methods and issues in calculation free vibrations/loss of stability for carbon nanotubes. The effect of various parameters associated with the material anisotropy are addressed. Typically classical continuum mechanics, which is intrinsically size independent, is employed for calculations.

Słowa kluczowe

EN

nanomechanics; carbon nanotube; free vibrations; buckling; shells; beams

PL

nanomechanika; nanorurki węglowe; drgania; wyboczenie; muszle; belki

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2015
• Tom: Vol. 63, nr 3
• Strony: 819--825
• Opis fizyczny: Bibliogr. 32 poz., rys., wykr.

Twórcy

autor

Muc A.

• Institute of Machine Design, Cracow University of Technology, 37 Jana Pawla II St., 31-864 Kraków, Poland

autor

Banaś A.

• Institute of Machine Design, Cracow University of Technology, 37 Jana Pawla II St., 31-864 Kraków, Poland

Bibliografia

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