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The phrase "an analytical method on" is not correct in standard written English.
It is typically used when discussing a specific analytical method applied to a subject or problem, but the preposition "on" is not the appropriate choice here.
Example: "We developed an analytical method for assessing the data quality."
Alternatives: "an analytical method for" or "an analytical approach to".
Exact(1)
An analytical method on active vibration control of smart FG laminated cylindrical shells with thin piezoelectric layers is presented based on Hamilton's principle.
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CEO of Professional Science Editing for Scientists @ prosciediting.com