Unconvincing argument. As unconvincing as a forced smile.
source: WordNet 3.0
Weak; feeble; limp; slight; vain; without strength or solidity; of loose and unsubstantial structure; without reason or plausibility; as, a flimsy argument, excuse, objection.
source: Webster 1913
noun
a thin strong lightweight translucent paper used especially for making carbon copies
source: WordNet 3.0
Thin or transfer paper.
source: Webster 1913
adjective satellite
lacking solidity or strength
A flimsy table. Flimsy construction.
source: WordNet 3.0
lacking substance or significance
Slight evidence. A tenuous argument. A thin plot. A fragile claim to fame.