Bending Theories for Beams and Plates With Single Generalized Displacement

GONG Ke

Volume 21 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(9): 984-990

GONG Ke. Bending Theories for Beams and Plates With Single Generalized Displacement[J]. Applied Mathematics and Mechanics, 2000, 21(9): 984-990.

Citation:

GONG Ke. Bending Theories for Beams and Plates With Single Generalized Displacement[J]. Applied Mathematics and Mechanics, 2000, 21(9): 984-990.

Citation:

GONG Ke. Bending Theories for Beams and Plates With Single Generalized Displacement[J]. Applied Mathematics and Mechanics, 2000, 21(9): 984-990.

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Bending Theories for Beams and Plates With Single Generalized Displacement

GONG Ke

Wuxi Institute of Engineering Equipemnt, Wuxi, Jiangsu 214035, P R China

Received Date: 1998-10-01
Rev Recd Date: 2000-06-03
Publish Date: 2000-09-15

Abstract

Abstract

Classical bending theories for beams and plates can not be used for short,stubby beams and thick plates since transverse shearing effect is excluded,and ordinary theories with multiple generalized displacements can not be used for long,slender beams and thin plates since the innate relation between rotation angle and deflection is ignored.These two types of theories are not consistent due to the contradiction of dependence and independence of the rotation angle.Based on several basic assumptions,a new type of theories which not only include the transverse shearing effect is presented, but also the relation between rotation angle and deflection is obtained.Analytical solutions of several simple beams are given.It has been testified by numerical examples that the new theories can be used for either long,slender beams and thin plates or short,stubby beams and thick plates.
- beam,
- plate,
- bending theory,
- transverse shearing effect,
- universal finite element

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References(6)

References

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