Your English writing platform
Discover LudwigSuggestions(1)
Exact(1)
Firstly, based on the nonlinear relation between strain and displacement, a set of partial differential equations of the beam and the axial boundary condition for the sliding end are derived by utilizing Hamilton׳s principle, where both frictional force and temperature-dependent properties of material are taken into consideration.
Similar(59)
The modal behavior of the wall is approximately accounted for by projecting the wall displacement onto a set of sinusoidal lateral basis functions.
Transport properties are quantified using pulse field gradient (PFG) NMR measurements which provide probability distributions of molecular displacement over a set observation time (propagators), supplementing conventional permeability measurements.
Then, the RFM was applied to each hysteresis response to describe the flexion extension rotation as a function of applied moment and simulated axial displacement using a set of 16 unique coefficients.
Based on the power series expansion of displacement components, a set of fundamental dynamic equations of a two-dimensional higher order shallow shell theory is derived through Hamilton's principle.
By using the method of power series expansion of displacement components, a set of fundamental dynamic equations of a one-dimensional higher order theory for laminated composite beams subjected to axial stress is derived through Hamilton's principle.
By using the method of power series expansion of displacement components, a set of fundamental equations of a 2D higher-order theory for rectangular functionally graded (FG) plates is derived through the principle of virtual work.
By using the method of power series expansion of displacement components, a set of fundamental dynamic equations of a two-dimensional higher-order theory for rectangular laminated shells made of elastic and orthotropic materials is derived through Hamilton's principle.
By using the method of power series expansion of displacement components, a set of fundamental dynamic equations of a one-dimentional higher order beam theory for thin rectangular beams is derived through Hamilton's principle.
Based on the power series expansion of displacement components, a set of fundamental dynamic equations of a two-dimensional higher-order shell theory is derived through Hamilton's principle.
By using the method of power series expansion of displacement components, a set of fundamental dynamic equations of a two-dimensional (2D) higher-order theory for rectangular functionally graded (FG) shallow shells is derived through Hamilton's principle.
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