My wife has made it pretty clear over the years that intimacy isn't important to her, and I won't beg and I'm tired of pursuing. She doesn't even wear her wedding ring anymore because she says "I don't want to get people's (her parents and our kids, mostly) hopes up that everything's fine," because she feels like we've been so on-again/off-again (and we have).
We have lived basically platonically for the past 20 years, which some short bursts of passion interspersed here and there. But nothing that's lasted.
She doesn't like morning sex ("I need to shower!") and she doesn't like nighttime sex ("too tired"), and tons of other excuses. I finally just decided to get on with my own life, because being with her just opens up my heart again anyway, which will make parting that much more difficult if we don't make it.