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Two different situations are analyzed: the ill-conditioning caused by low constraining is addressed deflating the total rigid body modes, while the one concerning the heterogeneity of the problem by using the rigid body modes of separate components.
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All molecules were aligned to flavone as a template by using the rigid-body least-squares fitting method.
For high-throughput analysis, we adapted the technique by using the microneedle patch with rigid backing to form a cap with a water-tight seal on top of the wells in a V-bottom multiwell microplate.
Numerical and experimental examples show that with the newly developed curved beam element, developed by using the implicit representation of a rigid body mode condition, it is possible to recover the rigid body modes of curved beams with low and medium slenderness ratios.
Parametric and external excitations are characterized by using the contact conditions for both rigid and deformable bodies.
The integration time step of the simulations was set to 2.0 fs, the SHAKE algorithm was used to constrain the lengths of all chemical bonds involving hydrogen atoms at their equilibrium values [48], and the water geometry was restrained rigid by using the SETTLE algorithm [49].
Parametric instability charts were obtained by using the monodromy matrix technique for both rigid and flexible linear models.
A general theory is derived for forced one-dimensional elastic systems carrying elastically or rigidly mounted rigid bodies by using the Lagrangian approach.
We present a three-dimensional (3D) and fully Eulerian approach to capturing the interaction between two fluids and moving rigid structures by using the fictitious domain and volume-of-fluid (VOF) methods.
Although the classical sol gel processes result in SHNs by using the core-template of micelles and rigid particles [12, 19 21], the synthetic procedures are multistep and complex, and the SHNs have significant shortcomings that limit their functionality in the silica shell as sacrificing templates by either calcination or chemical dissolution.
Assuming small displacements and the quasi-static behavior of the levitated micro-object, a generalized model of MIS is obtained and represented as a set of six linear differential equations corresponding to six degrees of freedom in a rigid body by using the Lagrange-Maxwell formalism.
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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