Timoshenko beam theory
The Timoshenko beam theory was developed by Stephen Timoshenko early in the 20th century. The model takes into account shear deformation and rotational bending effects, making it suitable for describing the behaviour of short beams, sandwich composite beams, or beams subject to high-frequency excitation when the wavelength approaches the thickness of the beam. The resulting equation is of 4th order but, unlike ordinary Euler–Bernoulli beam theory, there is also a second-order partial derivative present. Physically, taking into account the added mechanisms of deformation effectively lowers the stiffness of the beam, while the result is a larger deflection under a static load and lower predicted eigenfrequencies for a given set of boundary conditions. The latter effect is more noticeable for
known for
primaryTopic
Timoshenko beam theory
The Timoshenko beam theory was developed by Stephen Timoshenko early in the 20th century. The model takes into account shear deformation and rotational bending effects, making it suitable for describing the behaviour of short beams, sandwich composite beams, or beams subject to high-frequency excitation when the wavelength approaches the thickness of the beam. The resulting equation is of 4th order but, unlike ordinary Euler–Bernoulli beam theory, there is also a second-order partial derivative present. Physically, taking into account the added mechanisms of deformation effectively lowers the stiffness of the beam, while the result is a larger deflection under a static load and lower predicted eigenfrequencies for a given set of boundary conditions. The latter effect is more noticeable for
has abstract
Die Timoschenko-Balken-Theorie ...... räumliche Ableitung 2. Grades.
@de
Las suposiciones básicas de la ...... rsal en vigas de gran peralte.
@es
The Timoshenko beam theory was ...... towards ordinary beam theory.
@en
铁木辛柯梁是20世纪早期由美籍俄裔科学家与工程师斯蒂芬·铁木 ...... 切刚体,并且忽略转动惯性,则铁木辛柯梁理论趋同于一般梁理论。
@zh
Wikipage page ID
13,461,936
Wikipage revision ID
727,105,055
comment
Die Timoschenko-Balken-Theorie ...... e möglich vorhergesagt werden.
@de
Las suposiciones básicas de la ...... el elemento en una posición ).
@es
The Timoshenko beam theory was ...... effect is more noticeable for
@en
铁木辛柯梁是20世纪早期由美籍俄裔科学家与工程师斯蒂芬·铁木 ...... 切刚体,并且忽略转动惯性,则铁木辛柯梁理论趋同于一般梁理论。
@zh
label
Teoría de vigas de Timoshenko
@es
Timoshenko beam theory
@en
Timoshenko-Balken
@de
铁木辛柯梁理论
@zh