Theoretical Mechanics

Research topics include modeling of the mechanical behavior and optimization of plates and shells in the case of different material models.

Research Group staff

• Professor Jaan Lellep (Head of Research Group)
• Associate Professor Ella Puman
• Lecturer Annely Mürk
• Lecturer Julia Polikarpus
• Lecturer Tiina Kraav
• Lecturer Annika Paltsepp (EMÜ)
• PhD student Artur Lenbaum

Topics

• Natural vibrations and stability analysis of nanobeams, nanobars, nanoarches, nanotubes and nanoplates.

Research Group projects

PhD projects (supervisor prof. J. Lellep)

• Natural vibrations of nanobeams of piece-wise constant thickness (A. Lenbaum)
• Stability of stepped nanocolumns (H. Arif)
• Free vibrations of stepped nanobeams with cracks (M. Hossain)
• Natural vibrations of curved nanoarches (S. Mubasshar)
• Optimization of inelastic cylindrical shells with internal supports (A. Paltsepp)

Other projects

• Elastic-plastic bending of axisymmetric plates (J. Polikarpus) 
• Dynamic behaviour of stiffened conical shells (E. Puman)
• Inelastic bending of thin circular plates (A. Mürk)
• Stability of beams and columns weakened with cracks (T. Kraav)

Recently defended doctoral theses

• Shahid Mubasshar, 2023, supervisor Jaan Lellep, Natural vibrations of  curved nanobeams.
• Mohammed Mainul Hossain, 2022, supervisor Jaan Lellep, Numerical analysis of vibrations of nanobeams.
• Hina Arif, 2021, supervisor Jaan Lellep, Stability analysis of stepped nanobeams with defects.
• Tiina Kraav, 2017, supervisor Jaan Lellep, Stability of elastic stepped beams with cracks.
• Julia Polikarpus, 2016, supervisor Jaan Lellep, Elastic plastic analysis and optimization of axisymmetric plates.
• Alexander Liyvapuu, 2016, supervisor Jaan Lellep, Natural vibrations of elastic stepped arches with cracks.