Funding for this research was provided by:
National Natural Science Foundation of China (51705165, 11972166, 51790171, 51975227)
Fundamental Research Funds for the Central Universities (2019kfyXKJC044)
Article History
Received: 6 September 2019
Revised: 26 December 2019
Accepted: 7 January 2020
First Online: 11 February 2020
Compliance with ethical standards
:
: The authors declare that they have no conflict of interest.
: MATLAB codes for the cantilever example presented in Figs. InternalRef removed and InternalRef removed are available as supplementary material. Design cases of the half MBB beam can be easily replicated with the provided codes by changing the boundary conditions.