The phrase "analytical model provided" is correct and usable in written English.
It can be used in contexts where you are referring to a model that has been supplied for analysis or evaluation purposes.
Example: "The analytical model provided by the research team helped us understand the data trends more clearly."
Alternatives: "analysis model supplied" or "model for analysis given".
The analytical model provided rapid and reasonably accurate results for the design of warm hydroforming process.
The results showed that both the 3-dimensional diagram and analytical model provided similar thickness results, which were verified by the FEA for wood-based structural panels.
A lower-bound analytical model provided herein serves as an alternative form of practical analysis of FRP-strengthened slabs with cutouts.
After ensuring the accuracy of the analytical model provided by experimental results, several frame samples with different brace arrangements including Chevron, cross and K-shape bracing were modeled in finite element software.
First, an analytical model provides Beehive with closed-form optimal solutions indicating the appropriate levels of replication for each object.
Finally, an analytical model providing the steam flow rate and the quench front velocity is proposed to interpret these results.
Present analytical model provides design reference for piezoelectric material application, such as sensors, actuators and ultrasonic motors.
This analytical model provides an efficient framework to estimate the design parameters of SDA before any expensive empirical process.
In spite of its crudeness, the analytical model provides a fair prediction (within 30%) which makes it useful for engineering applications.
The information obtained from the analytical model provides insights into the design and installation of a phased transducer array for energy efficient wave focusing.
Therefore, in terms of engineering applications, the analytical model provides an efficient and accurate approach to assess the blast responses of DSF in the linear-elastic regime.
