A static, purely flexural mechanical analysis is presented for a Kirchhoff solid circular plate, deflected by a transverse central force, and bilaterally supported along two antipodal periphery arcs, the remaining part of the boundary being free. Two kinds of contact reactions are considered, namely the case of distributed reaction force alone, and the situation in which the distributed force is added to a distributed couple of properly selected profile. For both cases this plate problem is formulated in terms of an integral equation of the Prandtl type, coupled with two constraint conditions. The existence of solutions in an appropriate scaled weighted Sobolev space is discussed, and the behaviour of the solution at the endpoints of the support is exhibited.

On the form of the contact reaction in a solid circular plate simply supported along two antipodal edge arcs and deflected by a central transverse concentrated force / G., Monegato; Strozzi, Antonio. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - ELETTRONICO. - 68:(2002), pp. 13-35. [10.1023/A:1026043430609]

On the form of the contact reaction in a solid circular plate simply supported along two antipodal edge arcs and deflected by a central transverse concentrated force

STROZZI, Antonio
2002

Abstract

A static, purely flexural mechanical analysis is presented for a Kirchhoff solid circular plate, deflected by a transverse central force, and bilaterally supported along two antipodal periphery arcs, the remaining part of the boundary being free. Two kinds of contact reactions are considered, namely the case of distributed reaction force alone, and the situation in which the distributed force is added to a distributed couple of properly selected profile. For both cases this plate problem is formulated in terms of an integral equation of the Prandtl type, coupled with two constraint conditions. The existence of solutions in an appropriate scaled weighted Sobolev space is discussed, and the behaviour of the solution at the endpoints of the support is exhibited.
2002
68
13
35
On the form of the contact reaction in a solid circular plate simply supported along two antipodal edge arcs and deflected by a central transverse concentrated force / G., Monegato; Strozzi, Antonio. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - ELETTRONICO. - 68:(2002), pp. 13-35. [10.1023/A:1026043430609]
G., Monegato; Strozzi, Antonio
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/303859
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 11
  • ???jsp.display-item.citation.isi??? 9
social impact