Rock music will resound in Harvard Stadium this summer, but the sound may not please all ears in Cambridge.

The City of Boston's "Summer thing" arts festival and the Shaeffer Brewing Company are jointly sponsoring a series of 18 concerts at the Stadium. Those appearing in concert include. The Grateful Dead, Janis Joplin, and the Supremes.

Though there have been occasional concerts in Harvard Stadium in past years, this is the first summer the University has lent the stadium for a full-fledged concert series.

While all went smoothly at the first concert last Monday, after Wednesday's concert, some members of the crowd rushed into Harvard Square, snatching purses, and roughing up passers-by.

Wednesday's post-concert action has stirred some criticism of the concerts among City officials. Those sponsoring the concerts had agreed to provide their own security; no police were stationed in the stadium during the concert.

Recurrence

Cambridge Police Chief James F. Regan and officials of "Summerthing" are now conferring to determine what stops should be taken to prevent a recurrence of Wednesday's incidents. The Cambridge City Council may also take up the issue at its meeting tonight.

The Shaeffer Co. is underwriting the concerts to the amount of $360.000, "Summerthing"- established by the City of Boston two years ago to "cool off" the City during the summer- will receive a share of the proceeds. The share will probably be in excess of $30.000.

Though Harvard Stadium seats more than 35.000, tickets for the concerts are restricted to 10.000 seats, to allow all present a better sound. All tickets cost $2. The schedule of the remaining concerts is as follows:

June 29- B. B. King. Butterfield Blues Band; James Cotton Blues Band.

July 1- Ten Years After- Matt The Hoople.

July 6- The Four Seasons.

July 8- Miles Davis Buddy Miles, Big Band; Seatrain.

July 13- The Grateful Dead. John Hammond.

July 15- Ike and Tina Turner, Voices of East Harlem.