Sentence examples for corresponding equations from inspiring English sources

Our obtained solutions are verified by substituting back into their corresponding equations.

After modelling, we derive the corresponding equations governing the dynamic behaviour of structures under control.

The effects of the section shape on each shear transfer action have been identified and incorporated into the corresponding equations.

Experimental and numerical results of interfaces loaded in compression and shear, as well as corresponding equations, are then presented.

The corresponding equations are rewritten in terms of new variables adapted for numerical studies.

Furthermore, we proposed the analytical vibration model for the simplified test apparatus considering the negative-damping property, as well as the corresponding equations of motion.

The differences between measurements made in transmission mode and in reflection mode are summarized, and the corresponding equations for data analysis are introduced.

The proposed method and corresponding equations are used to obtain the second-order transverse deflections, as well as the bending moment and shear force diagrams.

We describe in detail the sample geometries that are needed to determine a complete set of the LEOE tensor components and derive the corresponding equations.

The corresponding equations of motion are obtained with the help of the virtual power principle, involving all rotating parts of the gearbox.

The properties of the piezoelectric actuators and sensors, as well as their coupling to the structure, were used to derive the corresponding equations of their behaviour.