ANS is committed to advancing, fostering, and promoting the development and application of nuclear sciences and technologies to benefit society.
Explore the many uses for nuclear science and its impact on energy, the environment, healthcare, food, and more.
Explore membership for yourself or for your organization.
Conference Spotlight
Nuclear Energy Conference & Expo (NECX)
September 8–11, 2025
Atlanta, GA|Atlanta Marriott Marquis
Standards Program
The Standards Committee is responsible for the development and maintenance of voluntary consensus standards that address the design, analysis, and operation of components, systems, and facilities related to the application of nuclear science and technology. Find out What’s New, check out the Standards Store, or Get Involved today!
Latest Magazine Issues
Aug 2025
Jan 2025
Latest Journal Issues
Nuclear Science and Engineering
September 2025
Nuclear Technology
Fusion Science and Technology
August 2025
Latest News
Powering the future: How the DOE is fueling nuclear fuel cycle research and development
As global interest in nuclear energy surges, the United States must remain at the forefront of research and development to ensure national energy security, advance nuclear technologies, and promote international cooperation on safety and nonproliferation. A crucial step in achieving this is analyzing how funding and resources are allocated to better understand how to direct future research and development. The Department of Energy has spearheaded this effort by funding hundreds of research projects across the country through the Nuclear Energy University Program (NEUP). This initiative has empowered dozens of universities to collaborate toward a nuclear-friendly future.
Yu. V. Petrov, E. G. Sakhnovsky
Nuclear Science and Engineering | Volume 90 | Number 1 | May 1985 | Pages 1-12
Technical Paper | doi.org/10.13182/NSE85-A17425
Articles are hosted by Taylor and Francis Online.
The effects of boundary perturbations on eigenvalues are reviewed. The perturbation theory is developed for application to calculations of the buckling of reactors whose lateral surface is shaped like a right circular cylinder or a sphere. It is shown that with the perturbation approach applied, the zeroth-order approximation can be a circular cylinder or a sphere of such a radius that the first-order correction for the buckling is zero. A buckling formula for reactors with a cylindrical side surface has been obtained within the framework of the second-order perturbation theory. An elliptical cylinder and regular polygonal prisms are reviewed for illustration purposes.