Your English writing platform
Discover LudwigExact(7)
This study analyzes the in-plane free vibration of a rotating curved beam with an elastically restrained root.
The exact frequency shift of an AFM non-uniform probe with an elastically restrained root, subjected to van der Waals force, is derived.
Using Hamilton's principle derives the governing differential equations and the boundary conditions for the coupled axial-bending vibration of a piezoelectric rotating beam with elastically restrained root.
The upper bound of the fundamental bending frequency of a rotating uniform Timoshenko beam with general elastically restrained root is derived via Rayleigh's principle.
The governing differential equations for the coupled bending bending vibration of a rotating beam with a tip mass, arbitrary pretwist, an elastically restrained root, and rotating at a constant angular velocity, are derived by using Hamilton's principle.
Lin et al. (2006) evaluated bending-bending vibrations of rotating damped beam with pre-twist and an elastically restrained root and their effects on the complex frequencies of rotating beams were observed.
Similar(53)
When iron availability decreases, DELLAs accumulate in the root meristem, thereby restraining root growth, while being progressively excluded from epidermal cells in the root differentiation zone.
The higher value of Cu substance can harm the plant roots by destroying the cell membrane structure, restrain root development and formation of many short auxiliary roots.
People and corporations do – and precisely how far the pursuit of productivity and profit is or isn't restrained is at root a political and ethical question.
In conclusion, the present results suggested that water deficit interrupted the ROS balance between generation and elimination in cucumber roots, which strongly disrupted the normal metabolism of roots and restrained the water absorption.
Deep ripping resulted in significantly improved rooting depth (up to 100 mm) and root distribution in wheat in the soil profile compared to non-ripped soil, where roots were restrained mainly in the top 0 30 cm layer.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com