纸张通过拉力仪可测得其抗张力和伸长率,而这两个指标在整个测定过程中皆在相互变化,这个变化即我们所称的纸张的应力——应变曲线(stress-strain curve)。这是用来评定纸张的动态强度较确切和重要的指标,我们习惯称为破裂功,实际上应...纸张通过拉力仪可测得其抗张力和伸长率,而这两个指标在整个测定过程中皆在相互变化,这个变化即我们所称的纸张的应力——应变曲线(stress-strain curve)。这是用来评定纸张的动态强度较确切和重要的指标,我们习惯称为破裂功,实际上应是纸张抗张能量吸收值(Tensile Energy Absortion—TEA)或称为韧性(Toughness)展开更多
This paper investigated the nonlinear vibration of functionally graded beams containing an open edge crack based on Timoshenko beam theory.The cracked section is modeled by a massless elastic rotational spring.It is a...This paper investigated the nonlinear vibration of functionally graded beams containing an open edge crack based on Timoshenko beam theory.The cracked section is modeled by a massless elastic rotational spring.It is assumed that material properties follow exponential distributions through the beam thickness.The differential quadrature(DQ) method is employed to discretize the nonlinear governing equations which are then solved by a direct iterative method to obtain the nonlinear vibration frequencies of beams with different boundary conditions.The effects of the material gradient,crack depth and boundary conditions on nonlinear free vibration characteristics of the cracked FGM beams are studied in detail.展开更多
文摘纸张通过拉力仪可测得其抗张力和伸长率,而这两个指标在整个测定过程中皆在相互变化,这个变化即我们所称的纸张的应力——应变曲线(stress-strain curve)。这是用来评定纸张的动态强度较确切和重要的指标,我们习惯称为破裂功,实际上应是纸张抗张能量吸收值(Tensile Energy Absortion—TEA)或称为韧性(Toughness)
基金supported by the National Natural Science Foundation of China (Grant No. 11002019)Ph.D. Programs Foundation of the Ministry of Education of China (Grant No. 20100009120018)the Fundamental Research Funds for the Central Universities (Grant No. 2009JBM073)
文摘This paper investigated the nonlinear vibration of functionally graded beams containing an open edge crack based on Timoshenko beam theory.The cracked section is modeled by a massless elastic rotational spring.It is assumed that material properties follow exponential distributions through the beam thickness.The differential quadrature(DQ) method is employed to discretize the nonlinear governing equations which are then solved by a direct iterative method to obtain the nonlinear vibration frequencies of beams with different boundary conditions.The effects of the material gradient,crack depth and boundary conditions on nonlinear free vibration characteristics of the cracked FGM beams are studied in detail.