The phrase "own accord" means "without being prompted or forced by others." There are several synonyms for this phrase that could be used interchangeably, depending on the context. These synonyms include "voluntarily," "freely," "willingly," "spontaneously," "unprompted," "self-generated," and "unaided." All of these synonyms convey the sense that something is being done without external influence or pressure. These phrases could be used in a variety of situations, such as describing a person's actions or decisions, or characterizing the behavior of a system or process. Regardless of the context, using these synonyms for "own accord" can add variety and nuance to your writing.