The present invention provides a wave generating apparatus for generating waves in for example beds, chairs and the like. The apparatus can be constructed to include a motor and crank assembly connected to a flexible sheet and a stationary inertial member. In one aspect of the invention there is provided an apparatus for generating wave motion, comprising a flexible member; an oscillatory drive means attached to said flexible member, said oscillatory drive means including a crank assembly having an axis of rotation; at least two link members each having opposed first and second end portions, the at least two link members being spaced apart a first pre-selected distance from each other and each being rigidly attached at their respective first end portions to said flexible member; and at least one elongate beam, said at least two link members being pivotally attached to the at least one elongate beam, and the elongate beam being attached to the crank assembly, for imparting oscillatory motion to the at least one elongate beam so that when the oscillatory drive means is engaged the at least one elongate beam undergoes oscillatory motion which produces transverse waves along the flexible member.