Journal
APPLIED SCIENCES-BASEL
Volume 10, Issue 15, Pages -Publisher
MDPI
DOI: 10.3390/app10155245
Keywords
modified Timoshenko beam; natural frequency; cross-sectional form
Categories
Funding
- National Key Research and Development Program of China [2017YFC0806001]
- Innovative Venture Technology Investment Project of Hunan Province [2018GK5028]
- Fund for Distinguished Young Scientists of Jiangsu Province [BK20190013]
- National Natural Science Foundation of China [51778490, 51578140]
Ask authors/readers for more resources
Based on the classical Timoshenko beam theory, the rotary inertia caused by shear deformation is further considered and then the equation of motion of the Timoshenko beam theory is modified. The dynamic characteristics of this new model, named the modified Timoshenko beam, have been discussed, and the distortion of natural frequencies of Timoshenko beam is improved, especially at high-frequency bands. The effects of different cross-sectional types on natural frequencies of the modified Timoshenko beam are studied, and corresponding simulations have been conducted. The results demonstrate that the modified Timoshenko beam can successfully be applied to all beams of three given cross sections, i.e., rectangular, rectangular hollow, and circular cross sections, subjected to different boundary conditions. The consequence verifies the validity and necessity of the modification.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available