  This paper presents a novel multi-objective formulation to investigate
optimal shape of double curvature arch dams in dam-reservoir systems
considering its volume and natural frequencies. For this purpose,
multi-objective charge system search algorithm in combination with
multi-criteria tournament decision-making method is utilized. Concrete volume
and natural frequencies of dam body are considered as two main objective
functions. Numerical modeling and frequency analysis of dam-reservoir system
are implemented by developing a parallel-working MATLAB-APDL code. A case study
of a well-known arch dam is performed to show the effectiveness and reliability
of proposed methodology.
