Rigid linkages allow robots to lift heavy loads but prevent them from gently stretching and bending their bodies. Continuum robots without rigid linkages have a wide range of motion, safety, shape adaptability, and compliance. To combine the benefits of both continuum and rigid robots, we propose a method of switching between discrete and continuum states by a dislocatable joint. This mechanism is driven by three wires. It has a cup joint in an upper section and a ball joint in a lower section, and the two sections are connected by a spring. The cup and ball joints are separated, and the manipulator is a flexible continuum one. When the wires through the sections are pulled, the two joints are connected as a discrete state. To clarify the design methodology of the manipulator, we build a model of the joint and consider three collision cases in the simulation and experiment. The model reveals the relationship between the robot's shape parameters and the manipulator's range of motion, and it visualizes an area where the positioning is uncertain due to the collision between the ball and cup joints. We build a prototype manipulator and experimentally verify that the stiffness is improved by the connection. INDEX TERMS Continuum robots, discrete robots, dislocatable joints, variable stiffness. I. INTRODUCTION Conventional industrial robots require a high level of stiffness to execute tasks with agility and accuracy in manufacturing. These robots are actuated in confined spaces separately from workers because of their use of rigid linkages, which enable them to handle heavy load tasks. Manipulators using elastic components, e.g., series elastic actuators [1], have been deemed safe and have contributed to work in close proximity with humans in factories [2], [3]. Continuum robots, which are continuously curved manipulators that are flexible and compliant, are examples of safe robots. Soft continuum robots are inherently safe because of soft and lightweight structures that are either wire driven [4]-[6] or pneumatically controlled [7]-[9]. High flexibility is a considerable advantage but reduces accuracy and payload. Variable stiffness mechanisms have much potential for applications that require safety and large payloads. Granular jamming is a well-known variable stiffness mechanism The associate editor coordinating the review of this manuscript and approving it for publication was Yingxiang Liu .