A fiber Bragg grating (FBG) is bonded to the side of the isosceles triangle cantilever beam with a determinate angle along the beam axis. Using the effect of FBG′s chirp, the sensing of many parameters about dynamics has been studied through measuring the FBG′s bandwidth. It is demonstrated in theory and experiment that this sensor can be automatically perform compensation for the FBG′s wavelength shift induced by temperature. In the experiments of displacement and stress, a good linear response has been obtained, the sensitivities of displacement and stress are 2.47 nm/mm and 2.26 nm/N, respectively, and the FBG′s bandwidth can be changed to 15.5 nm.