1962 Volume 5 Issue 19 Pages 402-411
The large deflections of a circular-arc cantilever spring of trapezoidal profile subjected to a concentrated force at the free end in the lateral direction have been studied. A solution of the nonlinear beam equation is obtained in the form of power series. However, the power series used yields poor convergency as the shape of spring approaches the triangular profile and it diverges lastly. An approximate solution is also derived from the nonlinear beam equation after approximated appropriately. In comparison between the results calculated from the series-form and approximate solutions, respectively, it is seen that the approximate one gives practically satisfactory results. Numerical results according to both the series-form and approximate solutions are also presented.
JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing
JSME International Journal Series B Fluids and Thermal Engineering
JSME International Journal Series A Solid Mechanics and Material Engineering
JSME international journal. Ser. C, Dynamics, control, robotics, design and manufacturing
JSME international journal. Ser. 3, Vibration, control engineering, engineering for industry
JSME international journal. Ser. A, Mechanics and material engineering
JSME international journal. Ser. 1, Solid mechanics, strength of materials