A refined theory of beam posting inside linear elastic foundation soil

作者：Zhao B S^*; Tong J L; Gao Y

来源：Engineering Mechanics, 2009, 26(SUPPL. 1): 16-19.

• Beam
• Displacement field
• Linear elastic foundation
• Mathematical theory of elasticity
• Refined theory
• Stress field

Cheng';s refined theory is extended to investigate the beam posting inside the linear elastic foundation soil, and an exact analysis for the beam is given. Expressions are obtained for all of the displacements and stress components in term of the midline displacement and its derivatives. The exact control equation of the beam is given from boundary conditions. However, exact equation is not applicable in most cases, since they are of infinite order. Using Lur';e Operator Function series, we obtain the approximate expressions of the midline displacement functions. From the refined theory, the displacement field and the stress field in the beam can be given. In case the term that the higher-order and k1 are omitted, the equation in terms of deflection of the refined theory is changed into the Euler-Bernoulli control equation of the beam on Winkler foundation.

• 出版日期2009
• 单位中国农业大学