Possible meaning of the expression "forced my lute"?

I don't think the glasses here are spectacles or eye-glasses. I think they are vials or flasks of some sort. Clayton is experimenting with coal and it's produced a high-pressure vapour.

OED has

lute

Tenacious clay or cement composed of various ingredients, and used to stop an orifice, to render air-tight a joint between two pipes, to coat a retort, etc., and to protect a graft. Also with a and plural a particular kind of this substance. †lute of wisdom [= medieval Latin lutum sapientae] , a composition for hermetical sealing, variously described by alchemists.

The pressure was sufficient to break the seal or, if the seal remained intact, it damaged the flasks.

This question first arose following the release of How the gas mantle made lamps 10x brighter by Technology Connections, and it seems they've found a likely answer.

We found what “forced my lute” meant! Back in ye olde chemistry days, lute was a substance used to make seals between your various chemistry apparatus. So, Clayton was probably saying the 330 year old equivalent of “blew the seals” (or indeed, the pressure was sufficient to break the glass!).

Per Wikipedia,

Lute (from Latin Lutum, meaning mud, clay etc.)[1] was a substance used to seal and affix apparatus employed in chemistry and alchemy....

Another use for lute was to act as a safety valve, preventing the buildup of vapour pressure from shattering a vessel and possibly causing an explosion. For this purpose, a hole was bored in the flask and covered with luting material of a particular composition, which was kept soft so that excessive buildup of vapour would cause it to come away from the vessel, thus releasing the pressure safely.¹

From this it seems clear that "forced my lute, or broke my glasses" means that:

• the increase in pressure forced the luting material from the hole, opening it and releasing the pressure, or instead
• this luting safety mechanism did not work and the glass itself broke under the strain.

¹ The reference given for this is: Encyclopædia Britannica. Eighteenth Century Chemistry as It Relates to Alchemy (reprinted Kessinger Publishing, 1992) p. 78-79.